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Finding the Fourth Proportional to 520,032,144.80, 780,163,690.80 and 174,976,032.80

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Solution

The fourth proportional to 520,032,144.80, 780,163,690.80 and 174,976,032.80 is: 262,502,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,032,144.80 : 780,163,690.80 = 174,976,032.80 : x
  2. Step 2: Convert to fraction form
    520,032,144.80/780,163,690.80 = 174,976,032.80/x
  3. Step 3: Cross multiply
    520,032,144.80x = 780,163,690.80 × 174,976,032.80
  4. Step 4: Simplify right side
    520,032,144.80x = 136,509,947,550,789,856
  5. Step 5: Solve for x
    x = 136,509,947,550,789,856/520,032,144.80
  6. Step 6: Final answer
    x = 262,502,902.78

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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.