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Finding the Fourth Proportional to 289,215.90, 433,807.65 and 89,534.70

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Solution

The fourth proportional to 289,215.90, 433,807.65 and 89,534.70 is: 134,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,215.90 : 433,807.65 = 89,534.70 : x
  2. Step 2: Convert to fraction form
    289,215.90/433,807.65 = 89,534.70/x
  3. Step 3: Cross multiply
    289,215.90x = 433,807.65 × 89,534.70
  4. Step 4: Simplify right side
    289,215.90x = 38,840,837,800.46
  5. Step 5: Solve for x
    x = 38,840,837,800.46/289,215.90
  6. Step 6: Final answer
    x = 134,297.03

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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.