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Finding the Fourth Proportional to 342,128.40, 512,609.40 and 291,973.20

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Solution

The fourth proportional to 342,128.40, 512,609.40 and 291,973.20 is: 437,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,128.40 : 512,609.40 = 291,973.20 : x
  2. Step 2: Convert to fraction form
    342,128.40/512,609.40 = 291,973.20/x
  3. Step 3: Cross multiply
    342,128.40x = 512,609.40 × 291,973.20
  4. Step 4: Simplify right side
    342,128.40x = 149,668,206,868.08
  5. Step 5: Solve for x
    x = 149,668,206,868.08/342,128.40
  6. Step 6: Final answer
    x = 437,462.10

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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.