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Finding the Fourth Proportional to 657,024.28, 906,693.42 and 355,218.28

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Solution

The fourth proportional to 657,024.28, 906,693.42 and 355,218.28 is: 490,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,024.28 : 906,693.42 = 355,218.28 : x
  2. Step 2: Convert to fraction form
    657,024.28/906,693.42 = 355,218.28/x
  3. Step 3: Cross multiply
    657,024.28x = 906,693.42 × 355,218.28
  4. Step 4: Simplify right side
    657,024.28x = 322,074,077,139.72
  5. Step 5: Solve for x
    x = 322,074,077,139.72/657,024.28
  6. Step 6: Final answer
    x = 490,201.18

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1.5x scale

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.