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Finding the Fourth Proportional to 284,486.54, 392,557.94 and 157,154.54

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Solution

The fourth proportional to 284,486.54, 392,557.94 and 157,154.54 is: 216,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,486.54 : 392,557.94 = 157,154.54 : x
  2. Step 2: Convert to fraction form
    284,486.54/392,557.94 = 157,154.54/x
  3. Step 3: Cross multiply
    284,486.54x = 392,557.94 × 157,154.54
  4. Step 4: Simplify right side
    284,486.54x = 61,692,262,484.05
  5. Step 5: Solve for x
    x = 61,692,262,484.05/284,486.54
  6. Step 6: Final answer
    x = 216,854.77

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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.