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Finding the Fourth Proportional to 285,547.69, 394,058.15 and 158,225.41

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Solution

The fourth proportional to 285,547.69, 394,058.15 and 158,225.41 is: 218,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,547.69 : 394,058.15 = 158,225.41 : x
  2. Step 2: Convert to fraction form
    285,547.69/394,058.15 = 158,225.41/x
  3. Step 3: Cross multiply
    285,547.69x = 394,058.15 × 158,225.41
  4. Step 4: Simplify right side
    285,547.69x = 62,350,012,347.59
  5. Step 5: Solve for x
    x = 62,350,012,347.59/285,547.69
  6. Step 6: Final answer
    x = 218,352.36

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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.