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Finding the Fourth Proportional to 931,857,569.46, 1,285,990,362.09 and 514,196,751.06

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Solution

The fourth proportional to 931,857,569.46, 1,285,990,362.09 and 514,196,751.06 is: 709,606,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,857,569.46 : 1,285,990,362.09 = 514,196,751.06 : x
  2. Step 2: Convert to fraction form
    931,857,569.46/1,285,990,362.09 = 514,196,751.06/x
  3. Step 3: Cross multiply
    931,857,569.46x = 1,285,990,362.09 × 514,196,751.06
  4. Step 4: Simplify right side
    931,857,569.46x = 661,252,066,081,150,976
  5. Step 5: Solve for x
    x = 661,252,066,081,150,976/931,857,569.46
  6. Step 6: Final answer
    x = 709,606,368.78

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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.