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Finding the Fourth Proportional to 656,475,834.82, 905,933,943.62 and 355,061,482.78

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Solution

The fourth proportional to 656,475,834.82, 905,933,943.62 and 355,061,482.78 is: 489,983,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,475,834.82 : 905,933,943.62 = 355,061,482.78 : x
  2. Step 2: Convert to fraction form
    656,475,834.82/905,933,943.62 = 355,061,482.78/x
  3. Step 3: Cross multiply
    656,475,834.82x = 905,933,943.62 × 355,061,482.78
  4. Step 4: Simplify right side
    656,475,834.82x = 321,662,249,320,432,704
  5. Step 5: Solve for x
    x = 321,662,249,320,432,704/656,475,834.82
  6. Step 6: Final answer
    x = 489,983,381.35

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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.