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Finding the Fourth Proportional to 917,713,901.58, 1,375,590,781.77 and 523,391,656.28

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Solution

The fourth proportional to 917,713,901.58, 1,375,590,781.77 and 523,391,656.28 is: 784,528,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,713,901.58 : 1,375,590,781.77 = 523,391,656.28 : x
  2. Step 2: Convert to fraction form
    917,713,901.58/1,375,590,781.77 = 523,391,656.28/x
  3. Step 3: Cross multiply
    917,713,901.58x = 1,375,590,781.77 × 523,391,656.28
  4. Step 4: Simplify right side
    917,713,901.58x = 719,972,737,627,222,272
  5. Step 5: Solve for x
    x = 719,972,737,627,222,272/917,713,901.58
  6. Step 6: Final answer
    x = 784,528,529.41

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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.