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Finding the Fourth Proportional to 312,290.40, 468,365.53 and 143,648.76

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Solution

The fourth proportional to 312,290.40, 468,365.53 and 143,648.76 is: 215,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,290.40 : 468,365.53 = 143,648.76 : x
  2. Step 2: Convert to fraction form
    312,290.40/468,365.53 = 143,648.76/x
  3. Step 3: Cross multiply
    312,290.40x = 468,365.53 × 143,648.76
  4. Step 4: Simplify right side
    312,290.40x = 67,280,127,611.24
  5. Step 5: Solve for x
    x = 67,280,127,611.24/312,290.40
  6. Step 6: Final answer
    x = 215,440.91

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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.