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Finding the Fourth Proportional to 578,001.84, 866,214.90 and 278,460.60

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Solution

The fourth proportional to 578,001.84, 866,214.90 and 278,460.60 is: 417,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,001.84 : 866,214.90 = 278,460.60 : x
  2. Step 2: Convert to fraction form
    578,001.84/866,214.90 = 278,460.60/x
  3. Step 3: Cross multiply
    578,001.84x = 866,214.90 × 278,460.60
  4. Step 4: Simplify right side
    578,001.84x = 241,206,720,782.94
  5. Step 5: Solve for x
    x = 241,206,720,782.94/578,001.84
  6. Step 6: Final answer
    x = 417,311.34

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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.