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Finding the Fourth Proportional to 647,565.16, 971,486 and 226,866.28

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Solution

The fourth proportional to 647,565.16, 971,486 and 226,866.28 is: 340,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,565.16 : 971,486 = 226,866.28 : x
  2. Step 2: Convert to fraction form
    647,565.16/971,486 = 226,866.28/x
  3. Step 3: Cross multiply
    647,565.16x = 971,486 × 226,866.28
  4. Step 4: Simplify right side
    647,565.16x = 220,397,414,892.08
  5. Step 5: Solve for x
    x = 220,397,414,892.08/647,565.16
  6. Step 6: Final answer
    x = 340,347.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.