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Finding the Fourth Proportional to 442,145.80, 663,315.90 and 142,575.40

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Solution

The fourth proportional to 442,145.80, 663,315.90 and 142,575.40 is: 213,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,145.80 : 663,315.90 = 142,575.40 : x
  2. Step 2: Convert to fraction form
    442,145.80/663,315.90 = 142,575.40/x
  3. Step 3: Cross multiply
    442,145.80x = 663,315.90 × 142,575.40
  4. Step 4: Simplify right side
    442,145.80x = 94,572,529,768.86
  5. Step 5: Solve for x
    x = 94,572,529,768.86/442,145.80
  6. Step 6: Final answer
    x = 213,894.44

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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.