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Finding the Fourth Proportional to 312,378.60, 468,458.55 and 162,569.10

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Solution

The fourth proportional to 312,378.60, 468,458.55 and 162,569.10 is: 243,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,378.60 : 468,458.55 = 162,569.10 : x
  2. Step 2: Convert to fraction form
    312,378.60/468,458.55 = 162,569.10/x
  3. Step 3: Cross multiply
    312,378.60x = 468,458.55 × 162,569.10
  4. Step 4: Simplify right side
    312,378.60x = 76,156,884,860.81
  5. Step 5: Solve for x
    x = 76,156,884,860.81/312,378.60
  6. Step 6: Final answer
    x = 243,796.74

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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.