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Finding the Fourth Proportional to 311,849,611.40, 467,774,417.10 and 215,103,729.80

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Solution

The fourth proportional to 311,849,611.40, 467,774,417.10 and 215,103,729.80 is: 322,655,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,849,611.40 : 467,774,417.10 = 215,103,729.80 : x
  2. Step 2: Convert to fraction form
    311,849,611.40/467,774,417.10 = 215,103,729.80/x
  3. Step 3: Cross multiply
    311,849,611.40x = 467,774,417.10 × 215,103,729.80
  4. Step 4: Simplify right side
    311,849,611.40x = 100,620,021,823,230,912
  5. Step 5: Solve for x
    x = 100,620,021,823,230,912/311,849,611.40
  6. Step 6: Final answer
    x = 322,655,594.70

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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.