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Finding the Fourth Proportional to 258,047.40, 386,552.70 and 147,109.80

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Solution

The fourth proportional to 258,047.40, 386,552.70 and 147,109.80 is: 220,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,047.40 : 386,552.70 = 147,109.80 : x
  2. Step 2: Convert to fraction form
    258,047.40/386,552.70 = 147,109.80/x
  3. Step 3: Cross multiply
    258,047.40x = 386,552.70 × 147,109.80
  4. Step 4: Simplify right side
    258,047.40x = 56,865,690,386.46
  5. Step 5: Solve for x
    x = 56,865,690,386.46/258,047.40
  6. Step 6: Final answer
    x = 220,369.17

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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.