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Finding the Fourth Proportional to 510,411.48, 765,053.40 and 210,726.84

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Solution

The fourth proportional to 510,411.48, 765,053.40 and 210,726.84 is: 315,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,411.48 : 765,053.40 = 210,726.84 : x
  2. Step 2: Convert to fraction form
    510,411.48/765,053.40 = 210,726.84/x
  3. Step 3: Cross multiply
    510,411.48x = 765,053.40 × 210,726.84
  4. Step 4: Simplify right side
    510,411.48x = 161,217,285,413.26
  5. Step 5: Solve for x
    x = 161,217,285,413.26/510,411.48
  6. Step 6: Final answer
    x = 315,857.48

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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.