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Finding the Fourth Proportional to 493,721.60, 740,582.40 and 414,005.45

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Solution

The fourth proportional to 493,721.60, 740,582.40 and 414,005.45 is: 621,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,721.60 : 740,582.40 = 414,005.45 : x
  2. Step 2: Convert to fraction form
    493,721.60/740,582.40 = 414,005.45/x
  3. Step 3: Cross multiply
    493,721.60x = 740,582.40 × 414,005.45
  4. Step 4: Simplify right side
    493,721.60x = 306,605,149,774.08
  5. Step 5: Solve for x
    x = 306,605,149,774.08/493,721.60
  6. Step 6: Final answer
    x = 621,008.18

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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.