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Finding the Fourth Proportional to 342,160.40, 512,657.40 and 292,005.20

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Solution

The fourth proportional to 342,160.40, 512,657.40 and 292,005.20 is: 437,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,160.40 : 512,657.40 = 292,005.20 : x
  2. Step 2: Convert to fraction form
    342,160.40/512,657.40 = 292,005.20/x
  3. Step 3: Cross multiply
    342,160.40x = 512,657.40 × 292,005.20
  4. Step 4: Simplify right side
    342,160.40x = 149,698,626,618.48
  5. Step 5: Solve for x
    x = 149,698,626,618.48/342,160.40
  6. Step 6: Final answer
    x = 437,510.09

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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.