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Finding the Fourth Proportional to 342,005.80, 513,008.70 and 142,259.80

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Solution

The fourth proportional to 342,005.80, 513,008.70 and 142,259.80 is: 213,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,005.80 : 513,008.70 = 142,259.80 : x
  2. Step 2: Convert to fraction form
    342,005.80/513,008.70 = 142,259.80/x
  3. Step 3: Cross multiply
    342,005.80x = 513,008.70 × 142,259.80
  4. Step 4: Simplify right side
    342,005.80x = 72,980,515,060.26
  5. Step 5: Solve for x
    x = 72,980,515,060.26/342,005.80
  6. Step 6: Final answer
    x = 213,389.70

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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.