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Finding the Fourth Proportional to 542,970.46, 814,619.13 and 489,411.13

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Solution

The fourth proportional to 542,970.46, 814,619.13 and 489,411.13 is: 734,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,970.46 : 814,619.13 = 489,411.13 : x
  2. Step 2: Convert to fraction form
    542,970.46/814,619.13 = 489,411.13/x
  3. Step 3: Cross multiply
    542,970.46x = 814,619.13 × 489,411.13
  4. Step 4: Simplify right side
    542,970.46x = 398,683,668,932.92
  5. Step 5: Solve for x
    x = 398,683,668,932.92/542,970.46
  6. Step 6: Final answer
    x = 734,264.01

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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.