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Finding the Fourth Proportional to 315,427.62, 473,139 and 78,768.72

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Solution

The fourth proportional to 315,427.62, 473,139 and 78,768.72 is: 118,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,427.62 : 473,139 = 78,768.72 : x
  2. Step 2: Convert to fraction form
    315,427.62/473,139 = 78,768.72/x
  3. Step 3: Cross multiply
    315,427.62x = 473,139 × 78,768.72
  4. Step 4: Simplify right side
    315,427.62x = 37,268,553,412.08
  5. Step 5: Solve for x
    x = 37,268,553,412.08/315,427.62
  6. Step 6: Final answer
    x = 118,152.47

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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.