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Finding the Fourth Proportional to 657,895.50, 907,903.44 and 385,968.06

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Solution

The fourth proportional to 657,895.50, 907,903.44 and 385,968.06 is: 532,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,895.50 : 907,903.44 = 385,968.06 : x
  2. Step 2: Convert to fraction form
    657,895.50/907,903.44 = 385,968.06/x
  3. Step 3: Cross multiply
    657,895.50x = 907,903.44 × 385,968.06
  4. Step 4: Simplify right side
    657,895.50x = 350,421,729,404.13
  5. Step 5: Solve for x
    x = 350,421,729,404.13/657,895.50
  6. Step 6: Final answer
    x = 532,640.41

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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.