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Finding the Fourth Proportional to 463,543.85, 695,423.61 and 143,678.75

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Solution

The fourth proportional to 463,543.85, 695,423.61 and 143,678.75 is: 215,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,543.85 : 695,423.61 = 143,678.75 : x
  2. Step 2: Convert to fraction form
    463,543.85/695,423.61 = 143,678.75/x
  3. Step 3: Cross multiply
    463,543.85x = 695,423.61 × 143,678.75
  4. Step 4: Simplify right side
    463,543.85x = 99,917,595,005.29
  5. Step 5: Solve for x
    x = 99,917,595,005.29/463,543.85
  6. Step 6: Final answer
    x = 215,551.55

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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.