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Finding the Fourth Proportional to 390,949.87, 586,499.15 and 134,714.47

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Solution

The fourth proportional to 390,949.87, 586,499.15 and 134,714.47 is: 202,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,949.87 : 586,499.15 = 134,714.47 : x
  2. Step 2: Convert to fraction form
    390,949.87/586,499.15 = 134,714.47/x
  3. Step 3: Cross multiply
    390,949.87x = 586,499.15 × 134,714.47
  4. Step 4: Simplify right side
    390,949.87x = 79,009,922,147.70
  5. Step 5: Solve for x
    x = 79,009,922,147.70/390,949.87
  6. Step 6: Final answer
    x = 202,097.32

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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.