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Finding the Fourth Proportional to 876,406.40, 1,314,652.80 and 456,502.40

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Solution

The fourth proportional to 876,406.40, 1,314,652.80 and 456,502.40 is: 684,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,406.40 : 1,314,652.80 = 456,502.40 : x
  2. Step 2: Convert to fraction form
    876,406.40/1,314,652.80 = 456,502.40/x
  3. Step 3: Cross multiply
    876,406.40x = 1,314,652.80 × 456,502.40
  4. Step 4: Simplify right side
    876,406.40x = 600,142,158,366.72
  5. Step 5: Solve for x
    x = 600,142,158,366.72/876,406.40
  6. Step 6: Final answer
    x = 684,776.10

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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.