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Finding the Fourth Proportional to 652,319.30, 978,434.94 and 178,965.02

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Solution

The fourth proportional to 652,319.30, 978,434.94 and 178,965.02 is: 268,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,319.30 : 978,434.94 = 178,965.02 : x
  2. Step 2: Convert to fraction form
    652,319.30/978,434.94 = 178,965.02/x
  3. Step 3: Cross multiply
    652,319.30x = 978,434.94 × 178,965.02
  4. Step 4: Simplify right side
    652,319.30x = 175,105,628,605.80
  5. Step 5: Solve for x
    x = 175,105,628,605.80/652,319.30
  6. Step 6: Final answer
    x = 268,435.46

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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.