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Finding the Fourth Proportional to 328,534.20, 492,801.30 and 295,291.80

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Solution

The fourth proportional to 328,534.20, 492,801.30 and 295,291.80 is: 442,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,534.20 : 492,801.30 = 295,291.80 : x
  2. Step 2: Convert to fraction form
    328,534.20/492,801.30 = 295,291.80/x
  3. Step 3: Cross multiply
    328,534.20x = 492,801.30 × 295,291.80
  4. Step 4: Simplify right side
    328,534.20x = 145,520,182,919.34
  5. Step 5: Solve for x
    x = 145,520,182,919.34/328,534.20
  6. Step 6: Final answer
    x = 442,937.70

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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.