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Finding the Fourth Proportional to 348,686.20, 523,029.30 and 99,335.80

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Solution

The fourth proportional to 348,686.20, 523,029.30 and 99,335.80 is: 149,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,686.20 : 523,029.30 = 99,335.80 : x
  2. Step 2: Convert to fraction form
    348,686.20/523,029.30 = 99,335.80/x
  3. Step 3: Cross multiply
    348,686.20x = 523,029.30 × 99,335.80
  4. Step 4: Simplify right side
    348,686.20x = 51,955,533,938.94
  5. Step 5: Solve for x
    x = 51,955,533,938.94/348,686.20
  6. Step 6: Final answer
    x = 149,003.70

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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.