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Finding the Fourth Proportional to 291,347.47, 437,430.08 and 149,294.81

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Solution

The fourth proportional to 291,347.47, 437,430.08 and 149,294.81 is: 224,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,347.47 : 437,430.08 = 149,294.81 : x
  2. Step 2: Convert to fraction form
    291,347.47/437,430.08 = 149,294.81/x
  3. Step 3: Cross multiply
    291,347.47x = 437,430.08 × 149,294.81
  4. Step 4: Simplify right side
    291,347.47x = 65,306,040,681.88
  5. Step 5: Solve for x
    x = 65,306,040,681.88/291,347.47
  6. Step 6: Final answer
    x = 224,151.73

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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.