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Finding the Fourth Proportional to 493,539.80, 740,309.70 and 417,432.20

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Solution

The fourth proportional to 493,539.80, 740,309.70 and 417,432.20 is: 626,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,539.80 : 740,309.70 = 417,432.20 : x
  2. Step 2: Convert to fraction form
    493,539.80/740,309.70 = 417,432.20/x
  3. Step 3: Cross multiply
    493,539.80x = 740,309.70 × 417,432.20
  4. Step 4: Simplify right side
    493,539.80x = 309,029,106,752.34
  5. Step 5: Solve for x
    x = 309,029,106,752.34/493,539.80
  6. Step 6: Final answer
    x = 626,148.30

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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.