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Finding the Fourth Proportional to 493,867,339.80, 740,801,009.70 and 310,201,330.20

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Solution

The fourth proportional to 493,867,339.80, 740,801,009.70 and 310,201,330.20 is: 465,301,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,867,339.80 : 740,801,009.70 = 310,201,330.20 : x
  2. Step 2: Convert to fraction form
    493,867,339.80/740,801,009.70 = 310,201,330.20/x
  3. Step 3: Cross multiply
    493,867,339.80x = 740,801,009.70 × 310,201,330.20
  4. Step 4: Simplify right side
    493,867,339.80x = 229,797,458,622,443,104
  5. Step 5: Solve for x
    x = 229,797,458,622,443,104/493,867,339.80
  6. Step 6: Final answer
    x = 465,301,995.30

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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.