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Finding the Fourth Proportional to 476,691.30, 657,838.73 and 258,904.22

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Solution

The fourth proportional to 476,691.30, 657,838.73 and 258,904.22 is: 357,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,691.30 : 657,838.73 = 258,904.22 : x
  2. Step 2: Convert to fraction form
    476,691.30/657,838.73 = 258,904.22/x
  3. Step 3: Cross multiply
    476,691.30x = 657,838.73 × 258,904.22
  4. Step 4: Simplify right side
    476,691.30x = 170,317,220,634.51
  5. Step 5: Solve for x
    x = 170,317,220,634.51/476,691.30
  6. Step 6: Final answer
    x = 357,290.39

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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.