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Finding the Fourth Proportional to 409,006,276.80, 613,509,415.20 and 194,015,428.80

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Solution

The fourth proportional to 409,006,276.80, 613,509,415.20 and 194,015,428.80 is: 291,023,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,006,276.80 : 613,509,415.20 = 194,015,428.80 : x
  2. Step 2: Convert to fraction form
    409,006,276.80/613,509,415.20 = 194,015,428.80/x
  3. Step 3: Cross multiply
    409,006,276.80x = 613,509,415.20 × 194,015,428.80
  4. Step 4: Simplify right side
    409,006,276.80x = 119,030,292,262,865,248
  5. Step 5: Solve for x
    x = 119,030,292,262,865,248/409,006,276.80
  6. Step 6: Final answer
    x = 291,023,143.20

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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.