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Finding the Fourth Proportional to 285,459.95, 393,929.30 and 158,136.59

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Solution

The fourth proportional to 285,459.95, 393,929.30 and 158,136.59 is: 218,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,459.95 : 393,929.30 = 158,136.59 : x
  2. Step 2: Convert to fraction form
    285,459.95/393,929.30 = 158,136.59/x
  3. Step 3: Cross multiply
    285,459.95x = 393,929.30 × 158,136.59
  4. Step 4: Simplify right side
    285,459.95x = 62,294,633,442.76
  5. Step 5: Solve for x
    x = 62,294,633,442.76/285,459.95
  6. Step 6: Final answer
    x = 218,225.48

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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.