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Finding the Fourth Proportional to 503,669.31, 695,089.23 and 285,893.31

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Solution

The fourth proportional to 503,669.31, 695,089.23 and 285,893.31 is: 394,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,669.31 : 695,089.23 = 285,893.31 : x
  2. Step 2: Convert to fraction form
    503,669.31/695,089.23 = 285,893.31/x
  3. Step 3: Cross multiply
    503,669.31x = 695,089.23 × 285,893.31
  4. Step 4: Simplify right side
    503,669.31x = 198,721,360,710.05
  5. Step 5: Solve for x
    x = 198,721,360,710.05/503,669.31
  6. Step 6: Final answer
    x = 394,547.29

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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.