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Finding the Fourth Proportional to 768,012,292.08, 1,059,858,805.42 and 415,592,064.48

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Solution

The fourth proportional to 768,012,292.08, 1,059,858,805.42 and 415,592,064.48 is: 573,518,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,012,292.08 : 1,059,858,805.42 = 415,592,064.48 : x
  2. Step 2: Convert to fraction form
    768,012,292.08/1,059,858,805.42 = 415,592,064.48/x
  3. Step 3: Cross multiply
    768,012,292.08x = 1,059,858,805.42 × 415,592,064.48
  4. Step 4: Simplify right side
    768,012,292.08x = 440,468,909,001,804,416
  5. Step 5: Solve for x
    x = 440,468,909,001,804,416/768,012,292.08
  6. Step 6: Final answer
    x = 573,518,045.93

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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.