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Finding the Fourth Proportional to 657,912, 907,971.32 and 523,058.84

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Solution

The fourth proportional to 657,912, 907,971.32 and 523,058.84 is: 721,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,912 : 907,971.32 = 523,058.84 : x
  2. Step 2: Convert to fraction form
    657,912/907,971.32 = 523,058.84/x
  3. Step 3: Cross multiply
    657,912x = 907,971.32 × 523,058.84
  4. Step 4: Simplify right side
    657,912x = 474,922,425,392.47
  5. Step 5: Solve for x
    x = 474,922,425,392.47/657,912
  6. Step 6: Final answer
    x = 721,863.14

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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.