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Finding the Fourth Proportional to 564,283.92, 778,680.84 and 309,615.12

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Solution

The fourth proportional to 564,283.92, 778,680.84 and 309,615.12 is: 427,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,283.92 : 778,680.84 = 309,615.12 : x
  2. Step 2: Convert to fraction form
    564,283.92/778,680.84 = 309,615.12/x
  3. Step 3: Cross multiply
    564,283.92x = 778,680.84 × 309,615.12
  4. Step 4: Simplify right side
    564,283.92x = 241,091,361,718.30
  5. Step 5: Solve for x
    x = 241,091,361,718.30/564,283.92
  6. Step 6: Final answer
    x = 427,251.87

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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.