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Finding the Fourth Proportional to 417,527.90, 626,284.52 and 289,325.96

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Solution

The fourth proportional to 417,527.90, 626,284.52 and 289,325.96 is: 433,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,527.90 : 626,284.52 = 289,325.96 : x
  2. Step 2: Convert to fraction form
    417,527.90/626,284.52 = 289,325.96/x
  3. Step 3: Cross multiply
    417,527.90x = 626,284.52 × 289,325.96
  4. Step 4: Simplify right side
    417,527.90x = 181,200,369,982.14
  5. Step 5: Solve for x
    x = 181,200,369,982.14/417,527.90
  6. Step 6: Final answer
    x = 433,983.86

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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.