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Finding the Fourth Proportional to 869,130,005.80, 1,303,695,008.70 and 773,895,778.60

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Solution

The fourth proportional to 869,130,005.80, 1,303,695,008.70 and 773,895,778.60 is: 1,160,843,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,130,005.80 : 1,303,695,008.70 = 773,895,778.60 : x
  2. Step 2: Convert to fraction form
    869,130,005.80/1,303,695,008.70 = 773,895,778.60/x
  3. Step 3: Cross multiply
    869,130,005.80x = 1,303,695,008.70 × 773,895,778.60
  4. Step 4: Simplify right side
    869,130,005.80x = 1,008,924,063,814,820,352
  5. Step 5: Solve for x
    x = 1,008,924,063,814,820,352/869,130,005.80
  6. Step 6: Final answer
    x = 1,160,843,667.90

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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.