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Finding the Fourth Proportional to 284,356.72, 392,409.12 and 157,029.76

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Solution

The fourth proportional to 284,356.72, 392,409.12 and 157,029.76 is: 216,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,356.72 : 392,409.12 = 157,029.76 : x
  2. Step 2: Convert to fraction form
    284,356.72/392,409.12 = 157,029.76/x
  3. Step 3: Cross multiply
    284,356.72x = 392,409.12 × 157,029.76
  4. Step 4: Simplify right side
    284,356.72x = 61,619,909,935.41
  5. Step 5: Solve for x
    x = 61,619,909,935.41/284,356.72
  6. Step 6: Final answer
    x = 216,699.33

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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.