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Finding the Fourth Proportional to 315,277.16, 472,902.50 and 146,739.52

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Solution

The fourth proportional to 315,277.16, 472,902.50 and 146,739.52 is: 220,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,277.16 : 472,902.50 = 146,739.52 : x
  2. Step 2: Convert to fraction form
    315,277.16/472,902.50 = 146,739.52/x
  3. Step 3: Cross multiply
    315,277.16x = 472,902.50 × 146,739.52
  4. Step 4: Simplify right side
    315,277.16x = 69,393,482,758.59
  5. Step 5: Solve for x
    x = 69,393,482,758.59/315,277.16
  6. Step 6: Final answer
    x = 220,103.11

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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.