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Finding the Fourth Proportional to 390,038.40, 585,057.60 and 153,388.80

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Solution

The fourth proportional to 390,038.40, 585,057.60 and 153,388.80 is: 230,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,038.40 : 585,057.60 = 153,388.80 : x
  2. Step 2: Convert to fraction form
    390,038.40/585,057.60 = 153,388.80/x
  3. Step 3: Cross multiply
    390,038.40x = 585,057.60 × 153,388.80
  4. Step 4: Simplify right side
    390,038.40x = 89,741,283,194.88
  5. Step 5: Solve for x
    x = 89,741,283,194.88/390,038.40
  6. Step 6: Final answer
    x = 230,083.20

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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.