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Finding the Fourth Proportional to 517,492.77, 714,148.10 and 288,052.55

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Solution

The fourth proportional to 517,492.77, 714,148.10 and 288,052.55 is: 397,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,492.77 : 714,148.10 = 288,052.55 : x
  2. Step 2: Convert to fraction form
    517,492.77/714,148.10 = 288,052.55/x
  3. Step 3: Cross multiply
    517,492.77x = 714,148.10 × 288,052.55
  4. Step 4: Simplify right side
    517,492.77x = 205,712,181,282.66
  5. Step 5: Solve for x
    x = 205,712,181,282.66/517,492.77
  6. Step 6: Final answer
    x = 397,517.02

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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.