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Finding the Fourth Proportional to 652,116.70, 978,175.05 and 402,939.10

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Solution

The fourth proportional to 652,116.70, 978,175.05 and 402,939.10 is: 604,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,116.70 : 978,175.05 = 402,939.10 : x
  2. Step 2: Convert to fraction form
    652,116.70/978,175.05 = 402,939.10/x
  3. Step 3: Cross multiply
    652,116.70x = 978,175.05 × 402,939.10
  4. Step 4: Simplify right side
    652,116.70x = 394,144,974,289.46
  5. Step 5: Solve for x
    x = 394,144,974,289.46/652,116.70
  6. Step 6: Final answer
    x = 604,408.65

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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.