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Finding the Fourth Proportional to 657,034.56, 906,709.80 and 355,230.72

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Solution

The fourth proportional to 657,034.56, 906,709.80 and 355,230.72 is: 490,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,034.56 : 906,709.80 = 355,230.72 : x
  2. Step 2: Convert to fraction form
    657,034.56/906,709.80 = 355,230.72/x
  3. Step 3: Cross multiply
    657,034.56x = 906,709.80 × 355,230.72
  4. Step 4: Simplify right side
    657,034.56x = 322,091,175,085.06
  5. Step 5: Solve for x
    x = 322,091,175,085.06/657,034.56
  6. Step 6: Final answer
    x = 490,219.53

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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.