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Finding the Fourth Proportional to 486,510.72, 729,721.50 and 344,963.22

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Solution

The fourth proportional to 486,510.72, 729,721.50 and 344,963.22 is: 517,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,510.72 : 729,721.50 = 344,963.22 : x
  2. Step 2: Convert to fraction form
    486,510.72/729,721.50 = 344,963.22/x
  3. Step 3: Cross multiply
    486,510.72x = 729,721.50 × 344,963.22
  4. Step 4: Simplify right side
    486,510.72x = 251,727,078,343.23
  5. Step 5: Solve for x
    x = 251,727,078,343.23/486,510.72
  6. Step 6: Final answer
    x = 517,413.22

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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.