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Finding the Fourth Proportional to 472,047.16, 651,127.42 and 280,917.88

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Solution

The fourth proportional to 472,047.16, 651,127.42 and 280,917.88 is: 387,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,047.16 : 651,127.42 = 280,917.88 : x
  2. Step 2: Convert to fraction form
    472,047.16/651,127.42 = 280,917.88/x
  3. Step 3: Cross multiply
    472,047.16x = 651,127.42 × 280,917.88
  4. Step 4: Simplify right side
    472,047.16x = 182,913,334,436.27
  5. Step 5: Solve for x
    x = 182,913,334,436.27/472,047.16
  6. Step 6: Final answer
    x = 387,489.53

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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.