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Finding the Fourth Proportional to 286,224,439.80, 429,336,659.70 and 266,950,846.20

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Solution

The fourth proportional to 286,224,439.80, 429,336,659.70 and 266,950,846.20 is: 400,426,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,224,439.80 : 429,336,659.70 = 266,950,846.20 : x
  2. Step 2: Convert to fraction form
    286,224,439.80/429,336,659.70 = 266,950,846.20/x
  3. Step 3: Cross multiply
    286,224,439.80x = 429,336,659.70 × 266,950,846.20
  4. Step 4: Simplify right side
    286,224,439.80x = 114,611,784,611,596,432
  5. Step 5: Solve for x
    x = 114,611,784,611,596,432/286,224,439.80
  6. Step 6: Final answer
    x = 400,426,269.30

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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.