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Finding the Fourth Proportional to 768,308,405.52, 1,152,385,048.08 and 520,902,211.20

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Solution

The fourth proportional to 768,308,405.52, 1,152,385,048.08 and 520,902,211.20 is: 781,300,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,308,405.52 : 1,152,385,048.08 = 520,902,211.20 : x
  2. Step 2: Convert to fraction form
    768,308,405.52/1,152,385,048.08 = 520,902,211.20/x
  3. Step 3: Cross multiply
    768,308,405.52x = 1,152,385,048.08 × 520,902,211.20
  4. Step 4: Simplify right side
    768,308,405.52x = 600,279,919,698,690,304
  5. Step 5: Solve for x
    x = 600,279,919,698,690,304/768,308,405.52
  6. Step 6: Final answer
    x = 781,300,732.08

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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.