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Finding the Fourth Proportional to 305,140.85, 457,648.71 and 115,535.81

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Solution

The fourth proportional to 305,140.85, 457,648.71 and 115,535.81 is: 173,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,140.85 : 457,648.71 = 115,535.81 : x
  2. Step 2: Convert to fraction form
    305,140.85/457,648.71 = 115,535.81/x
  3. Step 3: Cross multiply
    305,140.85x = 457,648.71 × 115,535.81
  4. Step 4: Simplify right side
    305,140.85x = 52,874,812,117.06
  5. Step 5: Solve for x
    x = 52,874,812,117.06/305,140.85
  6. Step 6: Final answer
    x = 173,280.02

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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.