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Finding the Fourth Proportional to 768,012,292.60, 1,059,858,806.12 and 415,592,065

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Solution

The fourth proportional to 768,012,292.60, 1,059,858,806.12 and 415,592,065 is: 573,518,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,012,292.60 : 1,059,858,806.12 = 415,592,065 : x
  2. Step 2: Convert to fraction form
    768,012,292.60/1,059,858,806.12 = 415,592,065/x
  3. Step 3: Cross multiply
    768,012,292.60x = 1,059,858,806.12 × 415,592,065
  4. Step 4: Simplify right side
    768,012,292.60x = 440,468,909,843,845,440
  5. Step 5: Solve for x
    x = 440,468,909,843,845,440/768,012,292.60
  6. Step 6: Final answer
    x = 573,518,046.64

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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.