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Finding the Fourth Proportional to 390,739.68, 586,103.12 and 124,496.58

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Solution

The fourth proportional to 390,739.68, 586,103.12 and 124,496.58 is: 186,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,739.68 : 586,103.12 = 124,496.58 : x
  2. Step 2: Convert to fraction form
    390,739.68/586,103.12 = 124,496.58/x
  3. Step 3: Cross multiply
    390,739.68x = 586,103.12 × 124,496.58
  4. Step 4: Simplify right side
    390,739.68x = 72,967,833,811.71
  5. Step 5: Solve for x
    x = 72,967,833,811.71/390,739.68
  6. Step 6: Final answer
    x = 186,742.83

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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.