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Finding the Fourth Proportional to 657,896.50, 907,904.82 and 385,969.06

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Solution

The fourth proportional to 657,896.50, 907,904.82 and 385,969.06 is: 532,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,896.50 : 907,904.82 = 385,969.06 : x
  2. Step 2: Convert to fraction form
    657,896.50/907,904.82 = 385,969.06/x
  3. Step 3: Cross multiply
    657,896.50x = 907,904.82 × 385,969.06
  4. Step 4: Simplify right side
    657,896.50x = 350,423,169,944.87
  5. Step 5: Solve for x
    x = 350,423,169,944.87/657,896.50
  6. Step 6: Final answer
    x = 532,641.79

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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.