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Finding the Fourth Proportional to 458,483.96, 687,607.68 and 142,778.36

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Solution

The fourth proportional to 458,483.96, 687,607.68 and 142,778.36 is: 214,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,483.96 : 687,607.68 = 142,778.36 : x
  2. Step 2: Convert to fraction form
    458,483.96/687,607.68 = 142,778.36/x
  3. Step 3: Cross multiply
    458,483.96x = 687,607.68 × 142,778.36
  4. Step 4: Simplify right side
    458,483.96x = 98,175,496,873.80
  5. Step 5: Solve for x
    x = 98,175,496,873.80/458,483.96
  6. Step 6: Final answer
    x = 214,130.71

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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.