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Finding the Fourth Proportional to 438,677.40, 657,442.80 and 317,505.94

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Solution

The fourth proportional to 438,677.40, 657,442.80 and 317,505.94 is: 475,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,677.40 : 657,442.80 = 317,505.94 : x
  2. Step 2: Convert to fraction form
    438,677.40/657,442.80 = 317,505.94/x
  3. Step 3: Cross multiply
    438,677.40x = 657,442.80 × 317,505.94
  4. Step 4: Simplify right side
    438,677.40x = 208,741,994,210.23
  5. Step 5: Solve for x
    x = 208,741,994,210.23/438,677.40
  6. Step 6: Final answer
    x = 475,843.97

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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.