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Finding the Fourth Proportional to 295,859.60, 443,497.80 and 145,977.20

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Solution

The fourth proportional to 295,859.60, 443,497.80 and 145,977.20 is: 218,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,859.60 : 443,497.80 = 145,977.20 : x
  2. Step 2: Convert to fraction form
    295,859.60/443,497.80 = 145,977.20/x
  3. Step 3: Cross multiply
    295,859.60x = 443,497.80 × 145,977.20
  4. Step 4: Simplify right side
    295,859.60x = 64,740,567,050.16
  5. Step 5: Solve for x
    x = 64,740,567,050.16/295,859.60
  6. Step 6: Final answer
    x = 218,821.92

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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.