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Finding the Fourth Proportional to 291,667.80, 437,598.90 and 142,001.40

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Solution

The fourth proportional to 291,667.80, 437,598.90 and 142,001.40 is: 213,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,667.80 : 437,598.90 = 142,001.40 : x
  2. Step 2: Convert to fraction form
    291,667.80/437,598.90 = 142,001.40/x
  3. Step 3: Cross multiply
    291,667.80x = 437,598.90 × 142,001.40
  4. Step 4: Simplify right side
    291,667.80x = 62,139,656,438.46
  5. Step 5: Solve for x
    x = 62,139,656,438.46/291,667.80
  6. Step 6: Final answer
    x = 213,049.42

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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.