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Finding the Fourth Proportional to 310,473.38, 465,890.77 and 130,545.78

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Solution

The fourth proportional to 310,473.38, 465,890.77 and 130,545.78 is: 195,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,473.38 : 465,890.77 = 130,545.78 : x
  2. Step 2: Convert to fraction form
    310,473.38/465,890.77 = 130,545.78/x
  3. Step 3: Cross multiply
    310,473.38x = 465,890.77 × 130,545.78
  4. Step 4: Simplify right side
    310,473.38x = 60,820,075,001.18
  5. Step 5: Solve for x
    x = 60,820,075,001.18/310,473.38
  6. Step 6: Final answer
    x = 195,894.65

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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.