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Finding the Fourth Proportional to 508,487.76, 701,728.92 and 282,154.32

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Solution

The fourth proportional to 508,487.76, 701,728.92 and 282,154.32 is: 389,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,487.76 : 701,728.92 = 282,154.32 : x
  2. Step 2: Convert to fraction form
    508,487.76/701,728.92 = 282,154.32/x
  3. Step 3: Cross multiply
    508,487.76x = 701,728.92 × 282,154.32
  4. Step 4: Simplify right side
    508,487.76x = 197,995,846,246.93
  5. Step 5: Solve for x
    x = 197,995,846,246.93/508,487.76
  6. Step 6: Final answer
    x = 389,381.74

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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.