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Finding the Fourth Proportional to 312,089.70, 468,296.55 and 145,877.70

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Solution

The fourth proportional to 312,089.70, 468,296.55 and 145,877.70 is: 218,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,089.70 : 468,296.55 = 145,877.70 : x
  2. Step 2: Convert to fraction form
    312,089.70/468,296.55 = 145,877.70/x
  3. Step 3: Cross multiply
    312,089.70x = 468,296.55 × 145,877.70
  4. Step 4: Simplify right side
    312,089.70x = 68,314,023,631.94
  5. Step 5: Solve for x
    x = 68,314,023,631.94/312,089.70
  6. Step 6: Final answer
    x = 218,892.27

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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.