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Finding the Fourth Proportional to 268,641,024.80, 402,289,690.80 and 214,893,312.80

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Solution

The fourth proportional to 268,641,024.80, 402,289,690.80 and 214,893,312.80 is: 321,802,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,641,024.80 : 402,289,690.80 = 214,893,312.80 : x
  2. Step 2: Convert to fraction form
    268,641,024.80/402,289,690.80 = 214,893,312.80/x
  3. Step 3: Cross multiply
    268,641,024.80x = 402,289,690.80 × 214,893,312.80
  4. Step 4: Simplify right side
    268,641,024.80x = 86,449,364,361,299,696
  5. Step 5: Solve for x
    x = 86,449,364,361,299,696/268,641,024.80
  6. Step 6: Final answer
    x = 321,802,540.87

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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.