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Finding the Fourth Proportional to 456,610.82, 684,103.68 and 389,368.76

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Solution

The fourth proportional to 456,610.82, 684,103.68 and 389,368.76 is: 583,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,610.82 : 684,103.68 = 389,368.76 : x
  2. Step 2: Convert to fraction form
    456,610.82/684,103.68 = 389,368.76/x
  3. Step 3: Cross multiply
    456,610.82x = 684,103.68 × 389,368.76
  4. Step 4: Simplify right side
    456,610.82x = 266,368,598,172.52
  5. Step 5: Solve for x
    x = 266,368,598,172.52/456,610.82
  6. Step 6: Final answer
    x = 583,360.25

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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.