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Finding the Fourth Proportional to 462,003.40, 693,005.10 and 320,285.80

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Solution

The fourth proportional to 462,003.40, 693,005.10 and 320,285.80 is: 480,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,003.40 : 693,005.10 = 320,285.80 : x
  2. Step 2: Convert to fraction form
    462,003.40/693,005.10 = 320,285.80/x
  3. Step 3: Cross multiply
    462,003.40x = 693,005.10 × 320,285.80
  4. Step 4: Simplify right side
    462,003.40x = 221,959,692,857.58
  5. Step 5: Solve for x
    x = 221,959,692,857.58/462,003.40
  6. Step 6: Final answer
    x = 480,428.70

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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.