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Finding the Fourth Proportional to 430,507.31, 645,710.54 and 114,988.82

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Solution

The fourth proportional to 430,507.31, 645,710.54 and 114,988.82 is: 172,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,507.31 : 645,710.54 = 114,988.82 : x
  2. Step 2: Convert to fraction form
    430,507.31/645,710.54 = 114,988.82/x
  3. Step 3: Cross multiply
    430,507.31x = 645,710.54 × 114,988.82
  4. Step 4: Simplify right side
    430,507.31x = 74,249,489,252.67
  5. Step 5: Solve for x
    x = 74,249,489,252.67/430,507.31
  6. Step 6: Final answer
    x = 172,469.75

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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.