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Finding the Fourth Proportional to 401,632.32, 602,079.84 and 138,792

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Solution

The fourth proportional to 401,632.32, 602,079.84 and 138,792 is: 208,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,632.32 : 602,079.84 = 138,792 : x
  2. Step 2: Convert to fraction form
    401,632.32/602,079.84 = 138,792/x
  3. Step 3: Cross multiply
    401,632.32x = 602,079.84 × 138,792
  4. Step 4: Simplify right side
    401,632.32x = 83,563,865,153.28
  5. Step 5: Solve for x
    x = 83,563,865,153.28/401,632.32
  6. Step 6: Final answer
    x = 208,060.61

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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.