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Finding the Fourth Proportional to 312,178.60, 468,152.70 and 101,823.40

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Solution

The fourth proportional to 312,178.60, 468,152.70 and 101,823.40 is: 152,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,178.60 : 468,152.70 = 101,823.40 : x
  2. Step 2: Convert to fraction form
    312,178.60/468,152.70 = 101,823.40/x
  3. Step 3: Cross multiply
    312,178.60x = 468,152.70 × 101,823.40
  4. Step 4: Simplify right side
    312,178.60x = 47,668,899,633.18
  5. Step 5: Solve for x
    x = 47,668,899,633.18/312,178.60
  6. Step 6: Final answer
    x = 152,697.53

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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.