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Finding the Fourth Proportional to 342,348.42, 513,322.95 and 142,429.23

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Solution

The fourth proportional to 342,348.42, 513,322.95 and 142,429.23 is: 213,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,348.42 : 513,322.95 = 142,429.23 : x
  2. Step 2: Convert to fraction form
    342,348.42/513,322.95 = 142,429.23/x
  3. Step 3: Cross multiply
    342,348.42x = 513,322.95 × 142,429.23
  4. Step 4: Simplify right side
    342,348.42x = 73,112,192,509.83
  5. Step 5: Solve for x
    x = 73,112,192,509.83/342,348.42
  6. Step 6: Final answer
    x = 213,560.77

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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.