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Finding the Fourth Proportional to 315,216.90, 472,890.15 and 105,005.70

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Solution

The fourth proportional to 315,216.90, 472,890.15 and 105,005.70 is: 157,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,216.90 : 472,890.15 = 105,005.70 : x
  2. Step 2: Convert to fraction form
    315,216.90/472,890.15 = 105,005.70/x
  3. Step 3: Cross multiply
    315,216.90x = 472,890.15 × 105,005.70
  4. Step 4: Simplify right side
    315,216.90x = 49,656,161,223.86
  5. Step 5: Solve for x
    x = 49,656,161,223.86/315,216.90
  6. Step 6: Final answer
    x = 157,530.14

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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.