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Finding the Fourth Proportional to 314,906, 472,359.35 and 78,248.68

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Solution

The fourth proportional to 314,906, 472,359.35 and 78,248.68 is: 117,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,906 : 472,359.35 = 78,248.68 : x
  2. Step 2: Convert to fraction form
    314,906/472,359.35 = 78,248.68/x
  3. Step 3: Cross multiply
    314,906x = 472,359.35 × 78,248.68
  4. Step 4: Simplify right side
    314,906x = 36,961,495,231.91
  5. Step 5: Solve for x
    x = 36,961,495,231.91/314,906
  6. Step 6: Final answer
    x = 117,373.11

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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.