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Finding the Fourth Proportional to 438,258.80, 657,647.40 and 288,930.80

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Solution

The fourth proportional to 438,258.80, 657,647.40 and 288,930.80 is: 433,567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,258.80 : 657,647.40 = 288,930.80 : x
  2. Step 2: Convert to fraction form
    438,258.80/657,647.40 = 288,930.80/x
  3. Step 3: Cross multiply
    438,258.80x = 657,647.40 × 288,930.80
  4. Step 4: Simplify right side
    438,258.80x = 190,014,589,399.92
  5. Step 5: Solve for x
    x = 190,014,589,399.92/438,258.80
  6. Step 6: Final answer
    x = 433,567.08

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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.