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Finding the Fourth Proportional to 657,165.30, 906,888.20 and 355,359.30

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Solution

The fourth proportional to 657,165.30, 906,888.20 and 355,359.30 is: 490,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,165.30 : 906,888.20 = 355,359.30 : x
  2. Step 2: Convert to fraction form
    657,165.30/906,888.20 = 355,359.30/x
  3. Step 3: Cross multiply
    657,165.30x = 906,888.20 × 355,359.30
  4. Step 4: Simplify right side
    657,165.30x = 322,271,154,153.46
  5. Step 5: Solve for x
    x = 322,271,154,153.46/657,165.30
  6. Step 6: Final answer
    x = 490,395.88

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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.