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Finding the Fourth Proportional to 665,760,728.13, 917,997,960.03 and 497,959,227.46

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Solution

The fourth proportional to 665,760,728.13, 917,997,960.03 and 497,959,227.46 is: 686,621,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,760,728.13 : 917,997,960.03 = 497,959,227.46 : x
  2. Step 2: Convert to fraction form
    665,760,728.13/917,997,960.03 = 497,959,227.46/x
  3. Step 3: Cross multiply
    665,760,728.13x = 917,997,960.03 × 497,959,227.46
  4. Step 4: Simplify right side
    665,760,728.13x = 457,125,554,985,674,944
  5. Step 5: Solve for x
    x = 457,125,554,985,674,944/665,760,728.13
  6. Step 6: Final answer
    x = 686,621,387.65

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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.