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Finding the Fourth Proportional to 768,404.22, 1,153,417.95 and 431,732.58

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Solution

The fourth proportional to 768,404.22, 1,153,417.95 and 431,732.58 is: 648,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,404.22 : 1,153,417.95 = 431,732.58 : x
  2. Step 2: Convert to fraction form
    768,404.22/1,153,417.95 = 431,732.58/x
  3. Step 3: Cross multiply
    768,404.22x = 1,153,417.95 × 431,732.58
  4. Step 4: Simplify right side
    768,404.22x = 497,968,107,371.81
  5. Step 5: Solve for x
    x = 497,968,107,371.81/768,404.22
  6. Step 6: Final answer
    x = 648,054.88

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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.