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Finding the Fourth Proportional to 521,362.64, 782,020.40 and 142,282

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Solution

The fourth proportional to 521,362.64, 782,020.40 and 142,282 is: 213,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,362.64 : 782,020.40 = 142,282 : x
  2. Step 2: Convert to fraction form
    521,362.64/782,020.40 = 142,282/x
  3. Step 3: Cross multiply
    521,362.64x = 782,020.40 × 142,282
  4. Step 4: Simplify right side
    521,362.64x = 111,267,426,552.80
  5. Step 5: Solve for x
    x = 111,267,426,552.80/521,362.64
  6. Step 6: Final answer
    x = 213,416.57

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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.