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Finding the Fourth Proportional to 315,013.64, 472,522.16 and 78,356.32

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Solution

The fourth proportional to 315,013.64, 472,522.16 and 78,356.32 is: 117,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,013.64 : 472,522.16 = 78,356.32 : x
  2. Step 2: Convert to fraction form
    315,013.64/472,522.16 = 78,356.32/x
  3. Step 3: Cross multiply
    315,013.64x = 472,522.16 × 78,356.32
  4. Step 4: Simplify right side
    315,013.64x = 37,025,096,590.64
  5. Step 5: Solve for x
    x = 37,025,096,590.64/315,013.64
  6. Step 6: Final answer
    x = 117,534.90

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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.