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Finding the Fourth Proportional to 657,684.36, 907,608.65 and 385,696.89

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Solution

The fourth proportional to 657,684.36, 907,608.65 and 385,696.89 is: 532,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,684.36 : 907,608.65 = 385,696.89 : x
  2. Step 2: Convert to fraction form
    657,684.36/907,608.65 = 385,696.89/x
  3. Step 3: Cross multiply
    657,684.36x = 907,608.65 × 385,696.89
  4. Step 4: Simplify right side
    657,684.36x = 350,061,831,713.61
  5. Step 5: Solve for x
    x = 350,061,831,713.61/657,684.36
  6. Step 6: Final answer
    x = 532,264.19

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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.