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Finding the Fourth Proportional to 378,810.60, 568,068.06 and 142,024.04

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Solution

The fourth proportional to 378,810.60, 568,068.06 and 142,024.04 is: 212,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,810.60 : 568,068.06 = 142,024.04 : x
  2. Step 2: Convert to fraction form
    378,810.60/568,068.06 = 142,024.04/x
  3. Step 3: Cross multiply
    378,810.60x = 568,068.06 × 142,024.04
  4. Step 4: Simplify right side
    378,810.60x = 80,679,320,876.16
  5. Step 5: Solve for x
    x = 80,679,320,876.16/378,810.60
  6. Step 6: Final answer
    x = 212,980.63

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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.