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Finding the Fourth Proportional to 768,012,290.10, 1,059,858,802.67 and 415,592,062.49

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Solution

The fourth proportional to 768,012,290.10, 1,059,858,802.67 and 415,592,062.49 is: 573,518,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,012,290.10 : 1,059,858,802.67 = 415,592,062.49 : x
  2. Step 2: Convert to fraction form
    768,012,290.10/1,059,858,802.67 = 415,592,062.49/x
  3. Step 3: Cross multiply
    768,012,290.10x = 1,059,858,802.67 × 415,592,062.49
  4. Step 4: Simplify right side
    768,012,290.10x = 440,468,905,750,378,880
  5. Step 5: Solve for x
    x = 440,468,905,750,378,880/768,012,290.10
  6. Step 6: Final answer
    x = 573,518,043.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.