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Finding the Fourth Proportional to 521,855.46, 782,851.23 and 147,888.18

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Solution

The fourth proportional to 521,855.46, 782,851.23 and 147,888.18 is: 221,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,855.46 : 782,851.23 = 147,888.18 : x
  2. Step 2: Convert to fraction form
    521,855.46/782,851.23 = 147,888.18/x
  3. Step 3: Cross multiply
    521,855.46x = 782,851.23 × 147,888.18
  4. Step 4: Simplify right side
    521,855.46x = 115,774,443,615.46
  5. Step 5: Solve for x
    x = 115,774,443,615.46/521,855.46
  6. Step 6: Final answer
    x = 221,851.55

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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.