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Finding the Fourth Proportional to 262,642.76, 393,332.85 and 149,981.89

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Solution

The fourth proportional to 262,642.76, 393,332.85 and 149,981.89 is: 224,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,642.76 : 393,332.85 = 149,981.89 : x
  2. Step 2: Convert to fraction form
    262,642.76/393,332.85 = 149,981.89/x
  3. Step 3: Cross multiply
    262,642.76x = 393,332.85 × 149,981.89
  4. Step 4: Simplify right side
    262,642.76x = 58,992,804,242.09
  5. Step 5: Solve for x
    x = 58,992,804,242.09/262,642.76
  6. Step 6: Final answer
    x = 224,612.34

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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.