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Finding the Fourth Proportional to 438,434.40, 657,651.60 and 288,843.60

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Solution

The fourth proportional to 438,434.40, 657,651.60 and 288,843.60 is: 433,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,434.40 : 657,651.60 = 288,843.60 : x
  2. Step 2: Convert to fraction form
    438,434.40/657,651.60 = 288,843.60/x
  3. Step 3: Cross multiply
    438,434.40x = 657,651.60 × 288,843.60
  4. Step 4: Simplify right side
    438,434.40x = 189,958,455,689.76
  5. Step 5: Solve for x
    x = 189,958,455,689.76/438,434.40
  6. Step 6: Final answer
    x = 433,265.40

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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.