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Finding the Fourth Proportional to 415,810.86, 573,688 and 254,497.74

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Solution

The fourth proportional to 415,810.86, 573,688 and 254,497.74 is: 351,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,810.86 : 573,688 = 254,497.74 : x
  2. Step 2: Convert to fraction form
    415,810.86/573,688 = 254,497.74/x
  3. Step 3: Cross multiply
    415,810.86x = 573,688 × 254,497.74
  4. Step 4: Simplify right side
    415,810.86x = 146,002,299,465.12
  5. Step 5: Solve for x
    x = 146,002,299,465.12/415,810.86
  6. Step 6: Final answer
    x = 351,126.71

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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.