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Finding the Fourth Proportional to 406,973,714.40, 610,460,571.60 and 252,005,518.80

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Solution

The fourth proportional to 406,973,714.40, 610,460,571.60 and 252,005,518.80 is: 378,008,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,973,714.40 : 610,460,571.60 = 252,005,518.80 : x
  2. Step 2: Convert to fraction form
    406,973,714.40/610,460,571.60 = 252,005,518.80/x
  3. Step 3: Cross multiply
    406,973,714.40x = 610,460,571.60 × 252,005,518.80
  4. Step 4: Simplify right side
    406,973,714.40x = 153,839,433,053,002,560
  5. Step 5: Solve for x
    x = 153,839,433,053,002,560/406,973,714.40
  6. Step 6: Final answer
    x = 378,008,278.20

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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.