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Finding the Fourth Proportional to 298,058.79, 447,285.14 and 140,332.35

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Solution

The fourth proportional to 298,058.79, 447,285.14 and 140,332.35 is: 210,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,058.79 : 447,285.14 = 140,332.35 : x
  2. Step 2: Convert to fraction form
    298,058.79/447,285.14 = 140,332.35/x
  3. Step 3: Cross multiply
    298,058.79x = 447,285.14 × 140,332.35
  4. Step 4: Simplify right side
    298,058.79x = 62,768,574,816.28
  5. Step 5: Solve for x
    x = 62,768,574,816.28/298,058.79
  6. Step 6: Final answer
    x = 210,591.26

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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.