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Finding the Fourth Proportional to 285,547.48, 394,039.08 and 156,460.71

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Solution

The fourth proportional to 285,547.48, 394,039.08 and 156,460.71 is: 215,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,547.48 : 394,039.08 = 156,460.71 : x
  2. Step 2: Convert to fraction form
    285,547.48/394,039.08 = 156,460.71/x
  3. Step 3: Cross multiply
    285,547.48x = 394,039.08 × 156,460.71
  4. Step 4: Simplify right side
    285,547.48x = 61,651,635,702.19
  5. Step 5: Solve for x
    x = 61,651,635,702.19/285,547.48
  6. Step 6: Final answer
    x = 215,906.78

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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.