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Finding the Fourth Proportional to 470,897.24, 650,078.60 and 318,739.55

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Solution

The fourth proportional to 470,897.24, 650,078.60 and 318,739.55 is: 440,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.24 : 650,078.60 = 318,739.55 : x
  2. Step 2: Convert to fraction form
    470,897.24/650,078.60 = 318,739.55/x
  3. Step 3: Cross multiply
    470,897.24x = 650,078.60 × 318,739.55
  4. Step 4: Simplify right side
    470,897.24x = 207,205,755,584.54
  5. Step 5: Solve for x
    x = 207,205,755,584.54/470,897.24
  6. Step 6: Final answer
    x = 440,023.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.