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Finding the Fourth Proportional to 284,424.95, 392,503.93 and 157,097.81

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Solution

The fourth proportional to 284,424.95, 392,503.93 and 157,097.81 is: 216,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,424.95 : 392,503.93 = 157,097.81 : x
  2. Step 2: Convert to fraction form
    284,424.95/392,503.93 = 157,097.81/x
  3. Step 3: Cross multiply
    284,424.95x = 392,503.93 × 157,097.81
  4. Step 4: Simplify right side
    284,424.95x = 61,661,508,407.91
  5. Step 5: Solve for x
    x = 61,661,508,407.91/284,424.95
  6. Step 6: Final answer
    x = 216,793.60

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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.