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Finding the Fourth Proportional to 417,763.20, 626,644.80 and 276,045.60

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Solution

The fourth proportional to 417,763.20, 626,644.80 and 276,045.60 is: 414,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,763.20 : 626,644.80 = 276,045.60 : x
  2. Step 2: Convert to fraction form
    417,763.20/626,644.80 = 276,045.60/x
  3. Step 3: Cross multiply
    417,763.20x = 626,644.80 × 276,045.60
  4. Step 4: Simplify right side
    417,763.20x = 172,982,539,802.88
  5. Step 5: Solve for x
    x = 172,982,539,802.88/417,763.20
  6. Step 6: Final answer
    x = 414,068.40

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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.