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Finding the Fourth Proportional to 341,237,648.40, 511,100,645.40 and 280,771,472.40

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Solution

The fourth proportional to 341,237,648.40, 511,100,645.40 and 280,771,472.40 is: 420,535,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,237,648.40 : 511,100,645.40 = 280,771,472.40 : x
  2. Step 2: Convert to fraction form
    341,237,648.40/511,100,645.40 = 280,771,472.40/x
  3. Step 3: Cross multiply
    341,237,648.40x = 511,100,645.40 × 280,771,472.40
  4. Step 4: Simplify right side
    341,237,648.40x = 143,502,480,753,548,272
  5. Step 5: Solve for x
    x = 143,502,480,753,548,272/341,237,648.40
  6. Step 6: Final answer
    x = 420,535,311.47

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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.