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Finding the Fourth Proportional to 882,324, 1,321,380 and 507,559.68

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Solution

The fourth proportional to 882,324, 1,321,380 and 507,559.68 is: 760,128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,324 : 1,321,380 = 507,559.68 : x
  2. Step 2: Convert to fraction form
    882,324/1,321,380 = 507,559.68/x
  3. Step 3: Cross multiply
    882,324x = 1,321,380 × 507,559.68
  4. Step 4: Simplify right side
    882,324x = 670,679,209,958.40
  5. Step 5: Solve for x
    x = 670,679,209,958.40/882,324
  6. Step 6: Final answer
    x = 760,128.04

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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.