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Finding the Fourth Proportional to 348,712.80, 523,117.80 and 149,031.60

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Solution

The fourth proportional to 348,712.80, 523,117.80 and 149,031.60 is: 223,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,712.80 : 523,117.80 = 149,031.60 : x
  2. Step 2: Convert to fraction form
    348,712.80/523,117.80 = 149,031.60/x
  3. Step 3: Cross multiply
    348,712.80x = 523,117.80 × 149,031.60
  4. Step 4: Simplify right side
    348,712.80x = 77,961,082,722.48
  5. Step 5: Solve for x
    x = 77,961,082,722.48/348,712.80
  6. Step 6: Final answer
    x = 223,568.17

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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.