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Finding the Fourth Proportional to 413,770.92, 621,590.69 and 245,401.70

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Solution

The fourth proportional to 413,770.92, 621,590.69 and 245,401.70 is: 368,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,770.92 : 621,590.69 = 245,401.70 : x
  2. Step 2: Convert to fraction form
    413,770.92/621,590.69 = 245,401.70/x
  3. Step 3: Cross multiply
    413,770.92x = 621,590.69 × 245,401.70
  4. Step 4: Simplify right side
    413,770.92x = 152,539,413,032.17
  5. Step 5: Solve for x
    x = 152,539,413,032.17/413,770.92
  6. Step 6: Final answer
    x = 368,656.68

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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.