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Finding the Fourth Proportional to 390,968.33, 586,500.78 and 138,196.68

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Solution

The fourth proportional to 390,968.33, 586,500.78 and 138,196.68 is: 207,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,968.33 : 586,500.78 = 138,196.68 : x
  2. Step 2: Convert to fraction form
    390,968.33/586,500.78 = 138,196.68/x
  3. Step 3: Cross multiply
    390,968.33x = 586,500.78 × 138,196.68
  4. Step 4: Simplify right side
    390,968.33x = 81,052,460,613.41
  5. Step 5: Solve for x
    x = 81,052,460,613.41/390,968.33
  6. Step 6: Final answer
    x = 207,312.09

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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.