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Finding the Fourth Proportional to 288,030.60, 431,171.10 and 256,537.80

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Solution

The fourth proportional to 288,030.60, 431,171.10 and 256,537.80 is: 384,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,030.60 : 431,171.10 = 256,537.80 : x
  2. Step 2: Convert to fraction form
    288,030.60/431,171.10 = 256,537.80/x
  3. Step 3: Cross multiply
    288,030.60x = 431,171.10 × 256,537.80
  4. Step 4: Simplify right side
    288,030.60x = 110,611,685,417.58
  5. Step 5: Solve for x
    x = 110,611,685,417.58/288,030.60
  6. Step 6: Final answer
    x = 384,027.55

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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.