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Finding the Fourth Proportional to 306,918.84, 460,377.24 and 138,241.72

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Solution

The fourth proportional to 306,918.84, 460,377.24 and 138,241.72 is: 207,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,918.84 : 460,377.24 = 138,241.72 : x
  2. Step 2: Convert to fraction form
    306,918.84/460,377.24 = 138,241.72/x
  3. Step 3: Cross multiply
    306,918.84x = 460,377.24 × 138,241.72
  4. Step 4: Simplify right side
    306,918.84x = 63,643,341,506.45
  5. Step 5: Solve for x
    x = 63,643,341,506.45/306,918.84
  6. Step 6: Final answer
    x = 207,362.12

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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.