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Finding the Fourth Proportional to 312,294.30, 468,154.42 and 112,565.81

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Solution

The fourth proportional to 312,294.30, 468,154.42 and 112,565.81 is: 168,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,294.30 : 468,154.42 = 112,565.81 : x
  2. Step 2: Convert to fraction form
    312,294.30/468,154.42 = 112,565.81/x
  3. Step 3: Cross multiply
    312,294.30x = 468,154.42 × 112,565.81
  4. Step 4: Simplify right side
    312,294.30x = 52,698,178,870.19
  5. Step 5: Solve for x
    x = 52,698,178,870.19/312,294.30
  6. Step 6: Final answer
    x = 168,745.25

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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.