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Finding the Fourth Proportional to 617,320.32, 851,713.12 and 402,382.08

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Solution

The fourth proportional to 617,320.32, 851,713.12 and 402,382.08 is: 555,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,320.32 : 851,713.12 = 402,382.08 : x
  2. Step 2: Convert to fraction form
    617,320.32/851,713.12 = 402,382.08/x
  3. Step 3: Cross multiply
    617,320.32x = 851,713.12 × 402,382.08
  4. Step 4: Simplify right side
    617,320.32x = 342,714,096,788.89
  5. Step 5: Solve for x
    x = 342,714,096,788.89/617,320.32
  6. Step 6: Final answer
    x = 555,164.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.