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Finding the Fourth Proportional to 514,757,728.95, 710,707,726.43 and 395,467,865.79

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Solution

The fourth proportional to 514,757,728.95, 710,707,726.43 and 395,467,865.79 is: 546,008,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,757,728.95 : 710,707,726.43 = 395,467,865.79 : x
  2. Step 2: Convert to fraction form
    514,757,728.95/710,707,726.43 = 395,467,865.79/x
  3. Step 3: Cross multiply
    514,757,728.95x = 710,707,726.43 × 395,467,865.79
  4. Step 4: Simplify right side
    514,757,728.95x = 281,062,067,771,735,264
  5. Step 5: Solve for x
    x = 281,062,067,771,735,264/514,757,728.95
  6. Step 6: Final answer
    x = 546,008,446.24

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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.