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Finding the Fourth Proportional to 438,643.40, 657,965.10 and 172,315.40

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Solution

The fourth proportional to 438,643.40, 657,965.10 and 172,315.40 is: 258,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,643.40 : 657,965.10 = 172,315.40 : x
  2. Step 2: Convert to fraction form
    438,643.40/657,965.10 = 172,315.40/x
  3. Step 3: Cross multiply
    438,643.40x = 657,965.10 × 172,315.40
  4. Step 4: Simplify right side
    438,643.40x = 113,377,519,392.54
  5. Step 5: Solve for x
    x = 113,377,519,392.54/438,643.40
  6. Step 6: Final answer
    x = 258,473.10

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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.