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Finding the Fourth Proportional to 288,644.77, 433,038.10 and 99,107.90

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Solution

The fourth proportional to 288,644.77, 433,038.10 and 99,107.90 is: 148,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,644.77 : 433,038.10 = 99,107.90 : x
  2. Step 2: Convert to fraction form
    288,644.77/433,038.10 = 99,107.90/x
  3. Step 3: Cross multiply
    288,644.77x = 433,038.10 × 99,107.90
  4. Step 4: Simplify right side
    288,644.77x = 42,917,498,543.59
  5. Step 5: Solve for x
    x = 42,917,498,543.59/288,644.77
  6. Step 6: Final answer
    x = 148,686.22

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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.