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Finding the Fourth Proportional to 258,403,713.10, 387,605,569.65 and 258,403,713.10

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Solution

The fourth proportional to 258,403,713.10, 387,605,569.65 and 258,403,713.10 is: 387,605,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,403,713.10 : 387,605,569.65 = 258,403,713.10 : x
  2. Step 2: Convert to fraction form
    258,403,713.10/387,605,569.65 = 258,403,713.10/x
  3. Step 3: Cross multiply
    258,403,713.10x = 387,605,569.65 × 258,403,713.10
  4. Step 4: Simplify right side
    258,403,713.10x = 100,158,718,415,800,656
  5. Step 5: Solve for x
    x = 100,158,718,415,800,656/258,403,713.10
  6. Step 6: Final answer
    x = 387,605,569.65

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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.