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Finding the Fourth Proportional to 342,264.20, 512,705.10 and 194,347.40

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Solution

The fourth proportional to 342,264.20, 512,705.10 and 194,347.40 is: 291,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,264.20 : 512,705.10 = 194,347.40 : x
  2. Step 2: Convert to fraction form
    342,264.20/512,705.10 = 194,347.40/x
  3. Step 3: Cross multiply
    342,264.20x = 512,705.10 × 194,347.40
  4. Step 4: Simplify right side
    342,264.20x = 99,642,903,151.74
  5. Step 5: Solve for x
    x = 99,642,903,151.74/342,264.20
  6. Step 6: Final answer
    x = 291,128.62

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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.