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Finding the Fourth Proportional to 316,346.78, 474,506.33 and 91,702.32

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Solution

The fourth proportional to 316,346.78, 474,506.33 and 91,702.32 is: 137,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,346.78 : 474,506.33 = 91,702.32 : x
  2. Step 2: Convert to fraction form
    316,346.78/474,506.33 = 91,702.32/x
  3. Step 3: Cross multiply
    316,346.78x = 474,506.33 × 91,702.32
  4. Step 4: Simplify right side
    316,346.78x = 43,513,330,857.17
  5. Step 5: Solve for x
    x = 43,513,330,857.17/316,346.78
  6. Step 6: Final answer
    x = 137,549.47

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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.