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Finding the Fourth Proportional to 390,097.20, 585,145.80 and 109,614.45

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Solution

The fourth proportional to 390,097.20, 585,145.80 and 109,614.45 is: 164,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,097.20 : 585,145.80 = 109,614.45 : x
  2. Step 2: Convert to fraction form
    390,097.20/585,145.80 = 109,614.45/x
  3. Step 3: Cross multiply
    390,097.20x = 585,145.80 × 109,614.45
  4. Step 4: Simplify right side
    390,097.20x = 64,140,435,036.81
  5. Step 5: Solve for x
    x = 64,140,435,036.81/390,097.20
  6. Step 6: Final answer
    x = 164,421.68

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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.