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Finding the Fourth Proportional to 390,083.20, 585,124.80 and 180,131.20

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Solution

The fourth proportional to 390,083.20, 585,124.80 and 180,131.20 is: 270,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,083.20 : 585,124.80 = 180,131.20 : x
  2. Step 2: Convert to fraction form
    390,083.20/585,124.80 = 180,131.20/x
  3. Step 3: Cross multiply
    390,083.20x = 585,124.80 × 180,131.20
  4. Step 4: Simplify right side
    390,083.20x = 105,399,232,373.76
  5. Step 5: Solve for x
    x = 105,399,232,373.76/390,083.20
  6. Step 6: Final answer
    x = 270,196.80

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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.