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Finding the Fourth Proportional to 722,545,808.52, 997,033,247.94 and 400,665,682.71

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Solution

The fourth proportional to 722,545,808.52, 997,033,247.94 and 400,665,682.71 is: 552,874,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,545,808.52 : 997,033,247.94 = 400,665,682.71 : x
  2. Step 2: Convert to fraction form
    722,545,808.52/997,033,247.94 = 400,665,682.71/x
  3. Step 3: Cross multiply
    722,545,808.52x = 997,033,247.94 × 400,665,682.71
  4. Step 4: Simplify right side
    722,545,808.52x = 399,477,006,971,947,264
  5. Step 5: Solve for x
    x = 399,477,006,971,947,264/722,545,808.52
  6. Step 6: Final answer
    x = 552,874,298.43

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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.