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Finding the Fourth Proportional to 452,456, 678,217.40 and 203,312.96

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Solution

The fourth proportional to 452,456, 678,217.40 and 203,312.96 is: 304,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,456 : 678,217.40 = 203,312.96 : x
  2. Step 2: Convert to fraction form
    452,456/678,217.40 = 203,312.96/x
  3. Step 3: Cross multiply
    452,456x = 678,217.40 × 203,312.96
  4. Step 4: Simplify right side
    452,456x = 137,890,387,117.50
  5. Step 5: Solve for x
    x = 137,890,387,117.50/452,456
  6. Step 6: Final answer
    x = 304,759.77

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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.