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Finding the Fourth Proportional to 342,358.36, 513,659.10 and 152,801.48

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Solution

The fourth proportional to 342,358.36, 513,659.10 and 152,801.48 is: 229,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,358.36 : 513,659.10 = 152,801.48 : x
  2. Step 2: Convert to fraction form
    342,358.36/513,659.10 = 152,801.48/x
  3. Step 3: Cross multiply
    342,358.36x = 513,659.10 × 152,801.48
  4. Step 4: Simplify right side
    342,358.36x = 78,487,870,695.47
  5. Step 5: Solve for x
    x = 78,487,870,695.47/342,358.36
  6. Step 6: Final answer
    x = 229,256.47

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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.