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Finding the Fourth Proportional to 315,280.32, 472,907.28 and 146,742.72

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Solution

The fourth proportional to 315,280.32, 472,907.28 and 146,742.72 is: 220,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,280.32 : 472,907.28 = 146,742.72 : x
  2. Step 2: Convert to fraction form
    315,280.32/472,907.28 = 146,742.72/x
  3. Step 3: Cross multiply
    315,280.32x = 472,907.28 × 146,742.72
  4. Step 4: Simplify right side
    315,280.32x = 69,395,700,575.00
  5. Step 5: Solve for x
    x = 69,395,700,575.00/315,280.32
  6. Step 6: Final answer
    x = 220,107.94

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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.