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Finding the Fourth Proportional to 513,461.76, 708,578.88 and 287,160.96

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Solution

The fourth proportional to 513,461.76, 708,578.88 and 287,160.96 is: 396,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,461.76 : 708,578.88 = 287,160.96 : x
  2. Step 2: Convert to fraction form
    513,461.76/708,578.88 = 287,160.96/x
  3. Step 3: Cross multiply
    513,461.76x = 708,578.88 × 287,160.96
  4. Step 4: Simplify right side
    513,461.76x = 203,476,191,416.53
  5. Step 5: Solve for x
    x = 203,476,191,416.53/513,461.76
  6. Step 6: Final answer
    x = 396,283.05

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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.