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Finding the Fourth Proportional to 285,355.23, 428,038.29 and 93,230.16

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Solution

The fourth proportional to 285,355.23, 428,038.29 and 93,230.16 is: 139,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,355.23 : 428,038.29 = 93,230.16 : x
  2. Step 2: Convert to fraction form
    285,355.23/428,038.29 = 93,230.16/x
  3. Step 3: Cross multiply
    285,355.23x = 428,038.29 × 93,230.16
  4. Step 4: Simplify right side
    285,355.23x = 39,906,078,262.83
  5. Step 5: Solve for x
    x = 39,906,078,262.83/285,355.23
  6. Step 6: Final answer
    x = 139,847.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.