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Finding the Fourth Proportional to 288,032.60, 431,174.10 and 256,539.80

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Solution

The fourth proportional to 288,032.60, 431,174.10 and 256,539.80 is: 384,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,032.60 : 431,174.10 = 256,539.80 : x
  2. Step 2: Convert to fraction form
    288,032.60/431,174.10 = 256,539.80/x
  3. Step 3: Cross multiply
    288,032.60x = 431,174.10 × 256,539.80
  4. Step 4: Simplify right side
    288,032.60x = 110,613,317,379.18
  5. Step 5: Solve for x
    x = 110,613,317,379.18/288,032.60
  6. Step 6: Final answer
    x = 384,030.55

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1.5x scale

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.