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Finding the Fourth Proportional to 402,205.80, 603,308.70 and 165,718.20

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Solution

The fourth proportional to 402,205.80, 603,308.70 and 165,718.20 is: 248,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,205.80 : 603,308.70 = 165,718.20 : x
  2. Step 2: Convert to fraction form
    402,205.80/603,308.70 = 165,718.20/x
  3. Step 3: Cross multiply
    402,205.80x = 603,308.70 × 165,718.20
  4. Step 4: Simplify right side
    402,205.80x = 99,979,231,808.34
  5. Step 5: Solve for x
    x = 99,979,231,808.34/402,205.80
  6. Step 6: Final answer
    x = 248,577.30

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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.