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Finding the Fourth Proportional to 478,135.50, 659,827.02 and 266,167.50

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Solution

The fourth proportional to 478,135.50, 659,827.02 and 266,167.50 is: 367,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,135.50 : 659,827.02 = 266,167.50 : x
  2. Step 2: Convert to fraction form
    478,135.50/659,827.02 = 266,167.50/x
  3. Step 3: Cross multiply
    478,135.50x = 659,827.02 × 266,167.50
  4. Step 4: Simplify right side
    478,135.50x = 175,624,508,345.85
  5. Step 5: Solve for x
    x = 175,624,508,345.85/478,135.50
  6. Step 6: Final answer
    x = 367,311.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.