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Finding the Fourth Proportional to 309,011.53, 463,407.14 and 140,390.59

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Solution

The fourth proportional to 309,011.53, 463,407.14 and 140,390.59 is: 210,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,011.53 : 463,407.14 = 140,390.59 : x
  2. Step 2: Convert to fraction form
    309,011.53/463,407.14 = 140,390.59/x
  3. Step 3: Cross multiply
    309,011.53x = 463,407.14 × 140,390.59
  4. Step 4: Simplify right side
    309,011.53x = 65,058,001,092.86
  5. Step 5: Solve for x
    x = 65,058,001,092.86/309,011.53
  6. Step 6: Final answer
    x = 210,535.84

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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.