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Finding the Fourth Proportional to 638,464.16, 956,470.32 and 357,128.48

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Solution

The fourth proportional to 638,464.16, 956,470.32 and 357,128.48 is: 535,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,464.16 : 956,470.32 = 357,128.48 : x
  2. Step 2: Convert to fraction form
    638,464.16/956,470.32 = 357,128.48/x
  3. Step 3: Cross multiply
    638,464.16x = 956,470.32 × 357,128.48
  4. Step 4: Simplify right side
    638,464.16x = 341,582,791,546.71
  5. Step 5: Solve for x
    x = 341,582,791,546.71/638,464.16
  6. Step 6: Final answer
    x = 535,006.99

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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.