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Finding the Fourth Proportional to 315,479.86, 472,465.40 and 181,955.32

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Solution

The fourth proportional to 315,479.86, 472,465.40 and 181,955.32 is: 272,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,479.86 : 472,465.40 = 181,955.32 : x
  2. Step 2: Convert to fraction form
    315,479.86/472,465.40 = 181,955.32/x
  3. Step 3: Cross multiply
    315,479.86x = 472,465.40 × 181,955.32
  4. Step 4: Simplify right side
    315,479.86x = 85,967,593,045.93
  5. Step 5: Solve for x
    x = 85,967,593,045.93/315,479.86
  6. Step 6: Final answer
    x = 272,497.88

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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.