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Finding the Fourth Proportional to 586,279, 879,194.32 and 319,897.12

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Solution

The fourth proportional to 586,279, 879,194.32 and 319,897.12 is: 479,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,279 : 879,194.32 = 319,897.12 : x
  2. Step 2: Convert to fraction form
    586,279/879,194.32 = 319,897.12/x
  3. Step 3: Cross multiply
    586,279x = 879,194.32 × 319,897.12
  4. Step 4: Simplify right side
    586,279x = 281,251,730,888.36
  5. Step 5: Solve for x
    x = 281,251,730,888.36/586,279
  6. Step 6: Final answer
    x = 479,723.36

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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.