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Finding the Fourth Proportional to 288,941.86, 433,305.02 and 99,348.58

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Solution

The fourth proportional to 288,941.86, 433,305.02 and 99,348.58 is: 148,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,941.86 : 433,305.02 = 99,348.58 : x
  2. Step 2: Convert to fraction form
    288,941.86/433,305.02 = 99,348.58/x
  3. Step 3: Cross multiply
    288,941.86x = 433,305.02 × 99,348.58
  4. Step 4: Simplify right side
    288,941.86x = 43,048,238,443.87
  5. Step 5: Solve for x
    x = 43,048,238,443.87/288,941.86
  6. Step 6: Final answer
    x = 148,985.81

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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.