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Finding the Fourth Proportional to 580,897.40, 870,723.14 and 280,965.38

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Solution

The fourth proportional to 580,897.40, 870,723.14 and 280,965.38 is: 421,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,897.40 : 870,723.14 = 280,965.38 : x
  2. Step 2: Convert to fraction form
    580,897.40/870,723.14 = 280,965.38/x
  3. Step 3: Cross multiply
    580,897.40x = 870,723.14 × 280,965.38
  4. Step 4: Simplify right side
    580,897.40x = 244,643,057,904.89
  5. Step 5: Solve for x
    x = 244,643,057,904.89/580,897.40
  6. Step 6: Final answer
    x = 421,146.76

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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.