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Finding the Fourth Proportional to 452,404.88, 678,135 and 152,782.16

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Solution

The fourth proportional to 452,404.88, 678,135 and 152,782.16 is: 229,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,404.88 : 678,135 = 152,782.16 : x
  2. Step 2: Convert to fraction form
    452,404.88/678,135 = 152,782.16/x
  3. Step 3: Cross multiply
    452,404.88x = 678,135 × 152,782.16
  4. Step 4: Simplify right side
    452,404.88x = 103,606,930,071.60
  5. Step 5: Solve for x
    x = 103,606,930,071.60/452,404.88
  6. Step 6: Final answer
    x = 229,013.73

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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.