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Finding the Fourth Proportional to 413,873,615.80, 620,282,919.30 and 219,877,967.80

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Solution

The fourth proportional to 413,873,615.80, 620,282,919.30 and 219,877,967.80 is: 329,536,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,873,615.80 : 620,282,919.30 = 219,877,967.80 : x
  2. Step 2: Convert to fraction form
    413,873,615.80/620,282,919.30 = 219,877,967.80/x
  3. Step 3: Cross multiply
    413,873,615.80x = 620,282,919.30 × 219,877,967.80
  4. Step 4: Simplify right side
    413,873,615.80x = 136,386,547,756,735,392
  5. Step 5: Solve for x
    x = 136,386,547,756,735,392/413,873,615.80
  6. Step 6: Final answer
    x = 329,536,705.29

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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.