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Finding the Fourth Proportional to 657,243.54, 906,428.27 and 427,718.22

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Solution

The fourth proportional to 657,243.54, 906,428.27 and 427,718.22 is: 589,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,243.54 : 906,428.27 = 427,718.22 : x
  2. Step 2: Convert to fraction form
    657,243.54/906,428.27 = 427,718.22/x
  3. Step 3: Cross multiply
    657,243.54x = 906,428.27 × 427,718.22
  4. Step 4: Simplify right side
    657,243.54x = 387,695,884,063.49
  5. Step 5: Solve for x
    x = 387,695,884,063.49/657,243.54
  6. Step 6: Final answer
    x = 589,881.62

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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.