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Finding the Fourth Proportional to 296,645.90, 445,114.65 and 138,847.10

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Solution

The fourth proportional to 296,645.90, 445,114.65 and 138,847.10 is: 208,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,645.90 : 445,114.65 = 138,847.10 : x
  2. Step 2: Convert to fraction form
    296,645.90/445,114.65 = 138,847.10/x
  3. Step 3: Cross multiply
    296,645.90x = 445,114.65 × 138,847.10
  4. Step 4: Simplify right side
    296,645.90x = 61,802,878,320.02
  5. Step 5: Solve for x
    x = 61,802,878,320.02/296,645.90
  6. Step 6: Final answer
    x = 208,338.89

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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.