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Finding the Fourth Proportional to 312,292.40, 468,368.53 and 143,650.76

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Solution

The fourth proportional to 312,292.40, 468,368.53 and 143,650.76 is: 215,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,292.40 : 468,368.53 = 143,650.76 : x
  2. Step 2: Convert to fraction form
    312,292.40/468,368.53 = 143,650.76/x
  3. Step 3: Cross multiply
    312,292.40x = 468,368.53 × 143,650.76
  4. Step 4: Simplify right side
    312,292.40x = 67,281,495,294.58
  5. Step 5: Solve for x
    x = 67,281,495,294.58/312,292.40
  6. Step 6: Final answer
    x = 215,443.91

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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.