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Finding the Fourth Proportional to 284,780.61, 393,005.12 and 157,460.76

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Solution

The fourth proportional to 284,780.61, 393,005.12 and 157,460.76 is: 217,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,780.61 : 393,005.12 = 157,460.76 : x
  2. Step 2: Convert to fraction form
    284,780.61/393,005.12 = 157,460.76/x
  3. Step 3: Cross multiply
    284,780.61x = 393,005.12 × 157,460.76
  4. Step 4: Simplify right side
    284,780.61x = 61,882,884,091.79
  5. Step 5: Solve for x
    x = 61,882,884,091.79/284,780.61
  6. Step 6: Final answer
    x = 217,300.20

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1.5x scale

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.