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Finding the Fourth Proportional to 647,580.80, 971,371.20 and 564,636.80

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Solution

The fourth proportional to 647,580.80, 971,371.20 and 564,636.80 is: 846,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,580.80 : 971,371.20 = 564,636.80 : x
  2. Step 2: Convert to fraction form
    647,580.80/971,371.20 = 564,636.80/x
  3. Step 3: Cross multiply
    647,580.80x = 971,371.20 × 564,636.80
  4. Step 4: Simplify right side
    647,580.80x = 548,471,925,980.16
  5. Step 5: Solve for x
    x = 548,471,925,980.16/647,580.80
  6. Step 6: Final answer
    x = 846,955.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.