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Finding the Fourth Proportional to 438,437.70, 657,656.55 and 305,727.30

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Solution

The fourth proportional to 438,437.70, 657,656.55 and 305,727.30 is: 458,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,437.70 : 657,656.55 = 305,727.30 : x
  2. Step 2: Convert to fraction form
    438,437.70/657,656.55 = 305,727.30/x
  3. Step 3: Cross multiply
    438,437.70x = 657,656.55 × 305,727.30
  4. Step 4: Simplify right side
    438,437.70x = 201,063,561,358.82
  5. Step 5: Solve for x
    x = 201,063,561,358.82/438,437.70
  6. Step 6: Final answer
    x = 458,590.95

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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.