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Finding the Fourth Proportional to 864,837,000.20, 1,297,255,500.30 and 856,774,843.40

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Solution

The fourth proportional to 864,837,000.20, 1,297,255,500.30 and 856,774,843.40 is: 1,285,162,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,837,000.20 : 1,297,255,500.30 = 856,774,843.40 : x
  2. Step 2: Convert to fraction form
    864,837,000.20/1,297,255,500.30 = 856,774,843.40/x
  3. Step 3: Cross multiply
    864,837,000.20x = 1,297,255,500.30 × 856,774,843.40
  4. Step 4: Simplify right side
    864,837,000.20x = 1,111,455,878,119,321,088
  5. Step 5: Solve for x
    x = 1,111,455,878,119,321,088/864,837,000.20
  6. Step 6: Final answer
    x = 1,285,162,265.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.