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Finding the Fourth Proportional to 653,353.68, 979,823.07 and 210,018

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Solution

The fourth proportional to 653,353.68, 979,823.07 and 210,018 is: 314,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,353.68 : 979,823.07 = 210,018 : x
  2. Step 2: Convert to fraction form
    653,353.68/979,823.07 = 210,018/x
  3. Step 3: Cross multiply
    653,353.68x = 979,823.07 × 210,018
  4. Step 4: Simplify right side
    653,353.68x = 205,780,481,515.26
  5. Step 5: Solve for x
    x = 205,780,481,515.26/653,353.68
  6. Step 6: Final answer
    x = 314,960.32

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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.