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Finding the Fourth Proportional to 219,323.60, 328,985.40 and 148,464.80

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Solution

The fourth proportional to 219,323.60, 328,985.40 and 148,464.80 is: 222,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,323.60 : 328,985.40 = 148,464.80 : x
  2. Step 2: Convert to fraction form
    219,323.60/328,985.40 = 148,464.80/x
  3. Step 3: Cross multiply
    219,323.60x = 328,985.40 × 148,464.80
  4. Step 4: Simplify right side
    219,323.60x = 48,842,751,613.92
  5. Step 5: Solve for x
    x = 48,842,751,613.92/219,323.60
  6. Step 6: Final answer
    x = 222,697.20

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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.