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Finding the Fourth Proportional to 539,909.66, 745,044.65 and 310,430.48

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Solution

The fourth proportional to 539,909.66, 745,044.65 and 310,430.48 is: 428,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,909.66 : 745,044.65 = 310,430.48 : x
  2. Step 2: Convert to fraction form
    539,909.66/745,044.65 = 310,430.48/x
  3. Step 3: Cross multiply
    539,909.66x = 745,044.65 × 310,430.48
  4. Step 4: Simplify right side
    539,909.66x = 231,284,568,320.93
  5. Step 5: Solve for x
    x = 231,284,568,320.93/539,909.66
  6. Step 6: Final answer
    x = 428,376.42

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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.