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Finding the Fourth Proportional to 282,374.47, 389,711.87 and 161,498.98

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Solution

The fourth proportional to 282,374.47, 389,711.87 and 161,498.98 is: 222,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,374.47 : 389,711.87 = 161,498.98 : x
  2. Step 2: Convert to fraction form
    282,374.47/389,711.87 = 161,498.98/x
  3. Step 3: Cross multiply
    282,374.47x = 389,711.87 × 161,498.98
  4. Step 4: Simplify right side
    282,374.47x = 62,938,069,498.89
  5. Step 5: Solve for x
    x = 62,938,069,498.89/282,374.47
  6. Step 6: Final answer
    x = 222,888.67

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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.