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Finding the Fourth Proportional to 315,044.80, 472,444.34 and 137,430.70

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Solution

The fourth proportional to 315,044.80, 472,444.34 and 137,430.70 is: 206,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,044.80 : 472,444.34 = 137,430.70 : x
  2. Step 2: Convert to fraction form
    315,044.80/472,444.34 = 137,430.70/x
  3. Step 3: Cross multiply
    315,044.80x = 472,444.34 × 137,430.70
  4. Step 4: Simplify right side
    315,044.80x = 64,928,356,357.24
  5. Step 5: Solve for x
    x = 64,928,356,357.24/315,044.80
  6. Step 6: Final answer
    x = 206,092.46

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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.