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Finding the Fourth Proportional to 359,749, 539,649.66 and 138,133

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Solution

The fourth proportional to 359,749, 539,649.66 and 138,133 is: 207,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,749 : 539,649.66 = 138,133 : x
  2. Step 2: Convert to fraction form
    359,749/539,649.66 = 138,133/x
  3. Step 3: Cross multiply
    359,749x = 539,649.66 × 138,133
  4. Step 4: Simplify right side
    359,749x = 74,543,426,484.78
  5. Step 5: Solve for x
    x = 74,543,426,484.78/359,749
  6. Step 6: Final answer
    x = 207,209.54

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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.