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Finding the Fourth Proportional to 315,013.42, 472,519.21 and 78,356.11

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Solution

The fourth proportional to 315,013.42, 472,519.21 and 78,356.11 is: 117,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,013.42 : 472,519.21 = 78,356.11 : x
  2. Step 2: Convert to fraction form
    315,013.42/472,519.21 = 78,356.11/x
  3. Step 3: Cross multiply
    315,013.42x = 472,519.21 × 78,356.11
  4. Step 4: Simplify right side
    315,013.42x = 37,024,767,195.87
  5. Step 5: Solve for x
    x = 37,024,767,195.87/315,013.42
  6. Step 6: Final answer
    x = 117,533.94

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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.