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Finding the Fourth Proportional to 280,376.68, 386,868.07 and 159,510.91

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Solution

The fourth proportional to 280,376.68, 386,868.07 and 159,510.91 is: 220,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,376.68 : 386,868.07 = 159,510.91 : x
  2. Step 2: Convert to fraction form
    280,376.68/386,868.07 = 159,510.91/x
  3. Step 3: Cross multiply
    280,376.68x = 386,868.07 × 159,510.91
  4. Step 4: Simplify right side
    280,376.68x = 61,709,677,895.64
  5. Step 5: Solve for x
    x = 61,709,677,895.64/280,376.68
  6. Step 6: Final answer
    x = 220,095.62

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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.