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Finding the Fourth Proportional to 315,247.29, 472,851.72 and 102,010.65

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Solution

The fourth proportional to 315,247.29, 472,851.72 and 102,010.65 is: 153,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,247.29 : 472,851.72 = 102,010.65 : x
  2. Step 2: Convert to fraction form
    315,247.29/472,851.72 = 102,010.65/x
  3. Step 3: Cross multiply
    315,247.29x = 472,851.72 × 102,010.65
  4. Step 4: Simplify right side
    315,247.29x = 48,235,911,310.82
  5. Step 5: Solve for x
    x = 48,235,911,310.82/315,247.29
  6. Step 6: Final answer
    x = 153,009.76

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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.