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Finding the Fourth Proportional to 315,096.71, 472,521.74 and 137,483.15

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Solution

The fourth proportional to 315,096.71, 472,521.74 and 137,483.15 is: 206,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,096.71 : 472,521.74 = 137,483.15 : x
  2. Step 2: Convert to fraction form
    315,096.71/472,521.74 = 137,483.15/x
  3. Step 3: Cross multiply
    315,096.71x = 472,521.74 × 137,483.15
  4. Step 4: Simplify right side
    315,096.71x = 64,963,774,208.66
  5. Step 5: Solve for x
    x = 64,963,774,208.66/315,096.71
  6. Step 6: Final answer
    x = 206,170.91

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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.