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Finding the Fourth Proportional to 282,239.95, 389,490.98 and 159,730.11

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Solution

The fourth proportional to 282,239.95, 389,490.98 and 159,730.11 is: 220,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,239.95 : 389,490.98 = 159,730.11 : x
  2. Step 2: Convert to fraction form
    282,239.95/389,490.98 = 159,730.11/x
  3. Step 3: Cross multiply
    282,239.95x = 389,490.98 × 159,730.11
  4. Step 4: Simplify right side
    282,239.95x = 62,213,436,018.14
  5. Step 5: Solve for x
    x = 62,213,436,018.14/282,239.95
  6. Step 6: Final answer
    x = 220,427.46

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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.