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Finding the Fourth Proportional to 287,644.60, 431,985.30 and 278,313.40

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Solution

The fourth proportional to 287,644.60, 431,985.30 and 278,313.40 is: 417,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,644.60 : 431,985.30 = 278,313.40 : x
  2. Step 2: Convert to fraction form
    287,644.60/431,985.30 = 278,313.40/x
  3. Step 3: Cross multiply
    287,644.60x = 431,985.30 × 278,313.40
  4. Step 4: Simplify right side
    287,644.60x = 120,227,297,593.02
  5. Step 5: Solve for x
    x = 120,227,297,593.02/287,644.60
  6. Step 6: Final answer
    x = 417,971.68

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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.