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Finding the Fourth Proportional to 517,770.12, 714,521.28 and 291,415.60

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Solution

The fourth proportional to 517,770.12, 714,521.28 and 291,415.60 is: 402,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,770.12 : 714,521.28 = 291,415.60 : x
  2. Step 2: Convert to fraction form
    517,770.12/714,521.28 = 291,415.60/x
  3. Step 3: Cross multiply
    517,770.12x = 714,521.28 × 291,415.60
  4. Step 4: Simplify right side
    517,770.12x = 208,222,647,523.97
  5. Step 5: Solve for x
    x = 208,222,647,523.97/517,770.12
  6. Step 6: Final answer
    x = 402,152.69

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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.