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Finding the Fourth Proportional to 458,971.75, 688,457.48 and 143,428.69

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Solution

The fourth proportional to 458,971.75, 688,457.48 and 143,428.69 is: 215,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,971.75 : 688,457.48 = 143,428.69 : x
  2. Step 2: Convert to fraction form
    458,971.75/688,457.48 = 143,428.69/x
  3. Step 3: Cross multiply
    458,971.75x = 688,457.48 × 143,428.69
  4. Step 4: Simplify right side
    458,971.75x = 98,744,551,034.81
  5. Step 5: Solve for x
    x = 98,744,551,034.81/458,971.75
  6. Step 6: Final answer
    x = 215,142.98

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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.