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Finding the Fourth Proportional to 842,796,560.71, 1,261,676,095.04 and 509,795,806.69

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Solution

The fourth proportional to 842,796,560.71, 1,261,676,095.04 and 509,795,806.69 is: 763,170,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,796,560.71 : 1,261,676,095.04 = 509,795,806.69 : x
  2. Step 2: Convert to fraction form
    842,796,560.71/1,261,676,095.04 = 509,795,806.69/x
  3. Step 3: Cross multiply
    842,796,560.71x = 1,261,676,095.04 × 509,795,806.69
  4. Step 4: Simplify right side
    842,796,560.71x = 643,197,182,652,390,016
  5. Step 5: Solve for x
    x = 643,197,182,652,390,016/842,796,560.71
  6. Step 6: Final answer
    x = 763,170,155.93

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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.