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Finding the Fourth Proportional to 978,996,344.31, 1,468,063,589.94 and 518,826,699.99

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Solution

The fourth proportional to 978,996,344.31, 1,468,063,589.94 and 518,826,699.99 is: 778,011,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,996,344.31 : 1,468,063,589.94 = 518,826,699.99 : x
  2. Step 2: Convert to fraction form
    978,996,344.31/1,468,063,589.94 = 518,826,699.99/x
  3. Step 3: Cross multiply
    978,996,344.31x = 1,468,063,589.94 × 518,826,699.99
  4. Step 4: Simplify right side
    978,996,344.31x = 761,670,587,744,042,752
  5. Step 5: Solve for x
    x = 761,670,587,744,042,752/978,996,344.31
  6. Step 6: Final answer
    x = 778,011,677.13

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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.