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Finding the Fourth Proportional to 390,685.68, 586,066.79 and 200,624.45

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Solution

The fourth proportional to 390,685.68, 586,066.79 and 200,624.45 is: 300,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,685.68 : 586,066.79 = 200,624.45 : x
  2. Step 2: Convert to fraction form
    390,685.68/586,066.79 = 200,624.45/x
  3. Step 3: Cross multiply
    390,685.68x = 586,066.79 × 200,624.45
  4. Step 4: Simplify right side
    390,685.68x = 117,579,324,978.24
  5. Step 5: Solve for x
    x = 117,579,324,978.24/390,685.68
  6. Step 6: Final answer
    x = 300,956.32

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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.