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Finding the Fourth Proportional to 315,840.60, 473,785.74 and 105,479.28

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Solution

The fourth proportional to 315,840.60, 473,785.74 and 105,479.28 is: 158,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,840.60 : 473,785.74 = 105,479.28 : x
  2. Step 2: Convert to fraction form
    315,840.60/473,785.74 = 105,479.28/x
  3. Step 3: Cross multiply
    315,840.60x = 473,785.74 × 105,479.28
  4. Step 4: Simplify right side
    315,840.60x = 49,974,578,729.47
  5. Step 5: Solve for x
    x = 49,974,578,729.47/315,840.60
  6. Step 6: Final answer
    x = 158,227.22

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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.