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Finding the Fourth Proportional to 645,356,193.68, 890,666,840.04 and 366,939,434

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Solution

The fourth proportional to 645,356,193.68, 890,666,840.04 and 366,939,434 is: 506,419,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,356,193.68 : 890,666,840.04 = 366,939,434 : x
  2. Step 2: Convert to fraction form
    645,356,193.68/890,666,840.04 = 366,939,434/x
  3. Step 3: Cross multiply
    645,356,193.68x = 890,666,840.04 × 366,939,434
  4. Step 4: Simplify right side
    645,356,193.68x = 326,820,786,166,846,144
  5. Step 5: Solve for x
    x = 326,820,786,166,846,144/645,356,193.68
  6. Step 6: Final answer
    x = 506,419,229.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.