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Finding the Fourth Proportional to 286,271,999.80, 429,407,999.70 and 266,998,406.20

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Solution

The fourth proportional to 286,271,999.80, 429,407,999.70 and 266,998,406.20 is: 400,497,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,271,999.80 : 429,407,999.70 = 266,998,406.20 : x
  2. Step 2: Convert to fraction form
    286,271,999.80/429,407,999.70 = 266,998,406.20/x
  3. Step 3: Cross multiply
    286,271,999.80x = 429,407,999.70 × 266,998,406.20
  4. Step 4: Simplify right side
    286,271,999.80x = 114,651,251,529,430,064
  5. Step 5: Solve for x
    x = 114,651,251,529,430,064/286,271,999.80
  6. Step 6: Final answer
    x = 400,497,609.30

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1.5x scale

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.