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Finding the Fourth Proportional to 390,316.92, 585,672.12 and 153,829.32

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Solution

The fourth proportional to 390,316.92, 585,672.12 and 153,829.32 is: 230,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,316.92 : 585,672.12 = 153,829.32 : x
  2. Step 2: Convert to fraction form
    390,316.92/585,672.12 = 153,829.32/x
  3. Step 3: Cross multiply
    390,316.92x = 585,672.12 × 153,829.32
  4. Step 4: Simplify right side
    390,316.92x = 90,093,543,962.56
  5. Step 5: Solve for x
    x = 90,093,543,962.56/390,316.92
  6. Step 6: Final answer
    x = 230,821.52

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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.