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Finding the Fourth Proportional to 827,000.40, 1,240,646.40 and 294,830.40

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Solution

The fourth proportional to 827,000.40, 1,240,646.40 and 294,830.40 is: 442,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,000.40 : 1,240,646.40 = 294,830.40 : x
  2. Step 2: Convert to fraction form
    827,000.40/1,240,646.40 = 294,830.40/x
  3. Step 3: Cross multiply
    827,000.40x = 1,240,646.40 × 294,830.40
  4. Step 4: Simplify right side
    827,000.40x = 365,780,274,370.56
  5. Step 5: Solve for x
    x = 365,780,274,370.56/827,000.40
  6. Step 6: Final answer
    x = 442,297.58

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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.