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Finding the Fourth Proportional to 438,430.30, 657,645.45 and 296,712.70

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Solution

The fourth proportional to 438,430.30, 657,645.45 and 296,712.70 is: 445,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,430.30 : 657,645.45 = 296,712.70 : x
  2. Step 2: Convert to fraction form
    438,430.30/657,645.45 = 296,712.70/x
  3. Step 3: Cross multiply
    438,430.30x = 657,645.45 × 296,712.70
  4. Step 4: Simplify right side
    438,430.30x = 195,131,757,112.22
  5. Step 5: Solve for x
    x = 195,131,757,112.22/438,430.30
  6. Step 6: Final answer
    x = 445,069.05

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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.