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Finding the Fourth Proportional to 515,996,907.15, 724,436,403.45 and 515,996,907.15

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Solution

The fourth proportional to 515,996,907.15, 724,436,403.45 and 515,996,907.15 is: 724,436,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,996,907.15 : 724,436,403.45 = 515,996,907.15 : x
  2. Step 2: Convert to fraction form
    515,996,907.15/724,436,403.45 = 515,996,907.15/x
  3. Step 3: Cross multiply
    515,996,907.15x = 724,436,403.45 × 515,996,907.15
  4. Step 4: Simplify right side
    515,996,907.15x = 373,806,943,607,069,568
  5. Step 5: Solve for x
    x = 373,806,943,607,069,568/515,996,907.15
  6. Step 6: Final answer
    x = 724,436,403.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.