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Finding the Fourth Proportional to 472,005.16, 651,069.54 and 280,875.88

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Solution

The fourth proportional to 472,005.16, 651,069.54 and 280,875.88 is: 387,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,005.16 : 651,069.54 = 280,875.88 : x
  2. Step 2: Convert to fraction form
    472,005.16/651,069.54 = 280,875.88/x
  3. Step 3: Cross multiply
    472,005.16x = 651,069.54 × 280,875.88
  4. Step 4: Simplify right side
    472,005.16x = 182,869,729,988.70
  5. Step 5: Solve for x
    x = 182,869,729,988.70/472,005.16
  6. Step 6: Final answer
    x = 387,431.63

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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.