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Finding the Fourth Proportional to 282,374.34, 389,711.70 and 161,498.85

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Solution

The fourth proportional to 282,374.34, 389,711.70 and 161,498.85 is: 222,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,374.34 : 389,711.70 = 161,498.85 : x
  2. Step 2: Convert to fraction form
    282,374.34/389,711.70 = 161,498.85/x
  3. Step 3: Cross multiply
    282,374.34x = 389,711.70 × 161,498.85
  4. Step 4: Simplify right side
    282,374.34x = 62,937,991,381.55
  5. Step 5: Solve for x
    x = 62,937,991,381.55/282,374.34
  6. Step 6: Final answer
    x = 222,888.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.