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Finding the Fourth Proportional to 514,649.32, 708,631.08 and 457,188.64

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Solution

The fourth proportional to 514,649.32, 708,631.08 and 457,188.64 is: 629,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,649.32 : 708,631.08 = 457,188.64 : x
  2. Step 2: Convert to fraction form
    514,649.32/708,631.08 = 457,188.64/x
  3. Step 3: Cross multiply
    514,649.32x = 708,631.08 × 457,188.64
  4. Step 4: Simplify right side
    514,649.32x = 323,978,079,726.93
  5. Step 5: Solve for x
    x = 323,978,079,726.93/514,649.32
  6. Step 6: Final answer
    x = 629,512.31

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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.