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Finding the Fourth Proportional to 288,854.88, 433,176.16 and 99,261.44

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Solution

The fourth proportional to 288,854.88, 433,176.16 and 99,261.44 is: 148,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,854.88 : 433,176.16 = 99,261.44 : x
  2. Step 2: Convert to fraction form
    288,854.88/433,176.16 = 99,261.44/x
  3. Step 3: Cross multiply
    288,854.88x = 433,176.16 × 99,261.44
  4. Step 4: Simplify right side
    288,854.88x = 42,997,689,415.27
  5. Step 5: Solve for x
    x = 42,997,689,415.27/288,854.88
  6. Step 6: Final answer
    x = 148,855.68

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1.5x scale

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.