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Finding the Fourth Proportional to 331,817.40, 497,726.10 and 313,846.20

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Solution

The fourth proportional to 331,817.40, 497,726.10 and 313,846.20 is: 470,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,817.40 : 497,726.10 = 313,846.20 : x
  2. Step 2: Convert to fraction form
    331,817.40/497,726.10 = 313,846.20/x
  3. Step 3: Cross multiply
    331,817.40x = 497,726.10 × 313,846.20
  4. Step 4: Simplify right side
    331,817.40x = 156,209,445,125.82
  5. Step 5: Solve for x
    x = 156,209,445,125.82/331,817.40
  6. Step 6: Final answer
    x = 470,769.30

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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.