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Finding the Fourth Proportional to 315,078.24, 472,479.12 and 117,948

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Solution

The fourth proportional to 315,078.24, 472,479.12 and 117,948 is: 176,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,078.24 : 472,479.12 = 117,948 : x
  2. Step 2: Convert to fraction form
    315,078.24/472,479.12 = 117,948/x
  3. Step 3: Cross multiply
    315,078.24x = 472,479.12 × 117,948
  4. Step 4: Simplify right side
    315,078.24x = 55,727,967,245.76
  5. Step 5: Solve for x
    x = 55,727,967,245.76/315,078.24
  6. Step 6: Final answer
    x = 176,870.25

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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.