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Finding the Fourth Proportional to 873,502,616.46, 1,310,904,663.12 and 640,934,291.78

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Solution

The fourth proportional to 873,502,616.46, 1,310,904,663.12 and 640,934,291.78 is: 961,878,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,502,616.46 : 1,310,904,663.12 = 640,934,291.78 : x
  2. Step 2: Convert to fraction form
    873,502,616.46/1,310,904,663.12 = 640,934,291.78/x
  3. Step 3: Cross multiply
    873,502,616.46x = 1,310,904,663.12 × 640,934,291.78
  4. Step 4: Simplify right side
    873,502,616.46x = 840,203,751,841,362,048
  5. Step 5: Solve for x
    x = 840,203,751,841,362,048/873,502,616.46
  6. Step 6: Final answer
    x = 961,878,918.29

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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.