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Finding the Fourth Proportional to 514,109.20, 709,369.88 and 323,011.88

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Solution

The fourth proportional to 514,109.20, 709,369.88 and 323,011.88 is: 445,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,109.20 : 709,369.88 = 323,011.88 : x
  2. Step 2: Convert to fraction form
    514,109.20/709,369.88 = 323,011.88/x
  3. Step 3: Cross multiply
    514,109.20x = 709,369.88 × 323,011.88
  4. Step 4: Simplify right side
    514,109.20x = 229,134,898,554.17
  5. Step 5: Solve for x
    x = 229,134,898,554.17/514,109.20
  6. Step 6: Final answer
    x = 445,693.05

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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.