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Finding the Fourth Proportional to 768,578,565.84, 1,152,694,963.80 and 353,657,383.44

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Solution

The fourth proportional to 768,578,565.84, 1,152,694,963.80 and 353,657,383.44 is: 530,406,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,578,565.84 : 1,152,694,963.80 = 353,657,383.44 : x
  2. Step 2: Convert to fraction form
    768,578,565.84/1,152,694,963.80 = 353,657,383.44/x
  3. Step 3: Cross multiply
    768,578,565.84x = 1,152,694,963.80 × 353,657,383.44
  4. Step 4: Simplify right side
    768,578,565.84x = 407,659,084,801,973,504
  5. Step 5: Solve for x
    x = 407,659,084,801,973,504/768,578,565.84
  6. Step 6: Final answer
    x = 530,406,523.06

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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.