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Finding the Fourth Proportional to 497,686,468.80, 746,529,703.20 and 282,695,620.80

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Solution

The fourth proportional to 497,686,468.80, 746,529,703.20 and 282,695,620.80 is: 424,043,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,686,468.80 : 746,529,703.20 = 282,695,620.80 : x
  2. Step 2: Convert to fraction form
    497,686,468.80/746,529,703.20 = 282,695,620.80/x
  3. Step 3: Cross multiply
    497,686,468.80x = 746,529,703.20 × 282,695,620.80
  4. Step 4: Simplify right side
    497,686,468.80x = 211,040,677,891,763,776
  5. Step 5: Solve for x
    x = 211,040,677,891,763,776/497,686,468.80
  6. Step 6: Final answer
    x = 424,043,431.20

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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.