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Finding the Fourth Proportional to 755,915, 1,133,872.50 and 312,683

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Solution

The fourth proportional to 755,915, 1,133,872.50 and 312,683 is: 469,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,915 : 1,133,872.50 = 312,683 : x
  2. Step 2: Convert to fraction form
    755,915/1,133,872.50 = 312,683/x
  3. Step 3: Cross multiply
    755,915x = 1,133,872.50 × 312,683
  4. Step 4: Simplify right side
    755,915x = 354,542,654,917.50
  5. Step 5: Solve for x
    x = 354,542,654,917.50/755,915
  6. Step 6: Final answer
    x = 469,024.50

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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.