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Finding the Fourth Proportional to 280,207.84, 386,709.76 and 159,386.96

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Solution

The fourth proportional to 280,207.84, 386,709.76 and 159,386.96 is: 219,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,207.84 : 386,709.76 = 159,386.96 : x
  2. Step 2: Convert to fraction form
    280,207.84/386,709.76 = 159,386.96/x
  3. Step 3: Cross multiply
    280,207.84x = 386,709.76 × 159,386.96
  4. Step 4: Simplify right side
    280,207.84x = 61,636,493,048.73
  5. Step 5: Solve for x
    x = 61,636,493,048.73/280,207.84
  6. Step 6: Final answer
    x = 219,967.05

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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.