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Finding the Fourth Proportional to 438,338.80, 657,767.40 and 319,711.60

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Solution

The fourth proportional to 438,338.80, 657,767.40 and 319,711.60 is: 479,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,338.80 : 657,767.40 = 319,711.60 : x
  2. Step 2: Convert to fraction form
    438,338.80/657,767.40 = 319,711.60/x
  3. Step 3: Cross multiply
    438,338.80x = 657,767.40 × 319,711.60
  4. Step 4: Simplify right side
    438,338.80x = 210,295,867,881.84
  5. Step 5: Solve for x
    x = 210,295,867,881.84/438,338.80
  6. Step 6: Final answer
    x = 479,756.45

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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.