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Finding the Fourth Proportional to 402,701.10, 604,051.65 and 269,990.70

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Solution

The fourth proportional to 402,701.10, 604,051.65 and 269,990.70 is: 404,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,701.10 : 604,051.65 = 269,990.70 : x
  2. Step 2: Convert to fraction form
    402,701.10/604,051.65 = 269,990.70/x
  3. Step 3: Cross multiply
    402,701.10x = 604,051.65 × 269,990.70
  4. Step 4: Simplify right side
    402,701.10x = 163,088,327,819.66
  5. Step 5: Solve for x
    x = 163,088,327,819.66/402,701.10
  6. Step 6: Final answer
    x = 404,986.05

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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.