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Finding the Fourth Proportional to 402,706.20, 604,232.10 and 205,714.20

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Solution

The fourth proportional to 402,706.20, 604,232.10 and 205,714.20 is: 308,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,706.20 : 604,232.10 = 205,714.20 : x
  2. Step 2: Convert to fraction form
    402,706.20/604,232.10 = 205,714.20/x
  3. Step 3: Cross multiply
    402,706.20x = 604,232.10 × 205,714.20
  4. Step 4: Simplify right side
    402,706.20x = 124,299,123,065.82
  5. Step 5: Solve for x
    x = 124,299,123,065.82/402,706.20
  6. Step 6: Final answer
    x = 308,659.57

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1.5x scale

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.