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Finding the Fourth Proportional to 390,108.30, 585,187.98 and 120,203.34

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Solution

The fourth proportional to 390,108.30, 585,187.98 and 120,203.34 is: 180,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,108.30 : 585,187.98 = 120,203.34 : x
  2. Step 2: Convert to fraction form
    390,108.30/585,187.98 = 120,203.34/x
  3. Step 3: Cross multiply
    390,108.30x = 585,187.98 × 120,203.34
  4. Step 4: Simplify right side
    390,108.30x = 70,341,549,723.85
  5. Step 5: Solve for x
    x = 70,341,549,723.85/390,108.30
  6. Step 6: Final answer
    x = 180,312.88

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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.