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Finding the Fourth Proportional to 647,178.80, 971,059.80 and 310,089.20

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Solution

The fourth proportional to 647,178.80, 971,059.80 and 310,089.20 is: 465,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,178.80 : 971,059.80 = 310,089.20 : x
  2. Step 2: Convert to fraction form
    647,178.80/971,059.80 = 310,089.20/x
  3. Step 3: Cross multiply
    647,178.80x = 971,059.80 × 310,089.20
  4. Step 4: Simplify right side
    647,178.80x = 301,115,156,534.16
  5. Step 5: Solve for x
    x = 301,115,156,534.16/647,178.80
  6. Step 6: Final answer
    x = 465,273.52

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1.5x scale

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.