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Finding the Fourth Proportional to 215,807,709.80, 323,711,564.70 and 190,865,412.20

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Solution

The fourth proportional to 215,807,709.80, 323,711,564.70 and 190,865,412.20 is: 286,298,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,807,709.80 : 323,711,564.70 = 190,865,412.20 : x
  2. Step 2: Convert to fraction form
    215,807,709.80/323,711,564.70 = 190,865,412.20/x
  3. Step 3: Cross multiply
    215,807,709.80x = 323,711,564.70 × 190,865,412.20
  4. Step 4: Simplify right side
    215,807,709.80x = 61,785,341,230,372,464
  5. Step 5: Solve for x
    x = 61,785,341,230,372,464/215,807,709.80
  6. Step 6: Final answer
    x = 286,298,118.30

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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.