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Finding the Fourth Proportional to 390,048.68, 584,957.10 and 165,405.80

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Solution

The fourth proportional to 390,048.68, 584,957.10 and 165,405.80 is: 248,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,048.68 : 584,957.10 = 165,405.80 : x
  2. Step 2: Convert to fraction form
    390,048.68/584,957.10 = 165,405.80/x
  3. Step 3: Cross multiply
    390,048.68x = 584,957.10 × 165,405.80
  4. Step 4: Simplify right side
    390,048.68x = 96,755,297,091.18
  5. Step 5: Solve for x
    x = 96,755,297,091.18/390,048.68
  6. Step 6: Final answer
    x = 248,059.54

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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.