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Finding the Fourth Proportional to 510,058.20, 765,087.30 and 421,411.80

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Solution

The fourth proportional to 510,058.20, 765,087.30 and 421,411.80 is: 632,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,058.20 : 765,087.30 = 421,411.80 : x
  2. Step 2: Convert to fraction form
    510,058.20/765,087.30 = 421,411.80/x
  3. Step 3: Cross multiply
    510,058.20x = 765,087.30 × 421,411.80
  4. Step 4: Simplify right side
    510,058.20x = 322,416,816,250.14
  5. Step 5: Solve for x
    x = 322,416,816,250.14/510,058.20
  6. Step 6: Final answer
    x = 632,117.70

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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.