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Finding the Fourth Proportional to 452,357.08, 678,391.81 and 148,681.20

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Solution

The fourth proportional to 452,357.08, 678,391.81 and 148,681.20 is: 222,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,357.08 : 678,391.81 = 148,681.20 : x
  2. Step 2: Convert to fraction form
    452,357.08/678,391.81 = 148,681.20/x
  3. Step 3: Cross multiply
    452,357.08x = 678,391.81 × 148,681.20
  4. Step 4: Simplify right side
    452,357.08x = 100,864,104,989.01
  5. Step 5: Solve for x
    x = 100,864,104,989.01/452,357.08
  6. Step 6: Final answer
    x = 222,974.52

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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.