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Finding the Fourth Proportional to 288,698.34, 433,019.65 and 88,965.10

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Solution

The fourth proportional to 288,698.34, 433,019.65 and 88,965.10 is: 133,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,698.34 : 433,019.65 = 88,965.10 : x
  2. Step 2: Convert to fraction form
    288,698.34/433,019.65 = 88,965.10/x
  3. Step 3: Cross multiply
    288,698.34x = 433,019.65 × 88,965.10
  4. Step 4: Simplify right side
    288,698.34x = 38,523,636,464.22
  5. Step 5: Solve for x
    x = 38,523,636,464.22/288,698.34
  6. Step 6: Final answer
    x = 133,439.06

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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.