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Finding the Fourth Proportional to 458,971.87, 688,457.67 and 143,428.81

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Solution

The fourth proportional to 458,971.87, 688,457.67 and 143,428.81 is: 215,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,971.87 : 688,457.67 = 143,428.81 : x
  2. Step 2: Convert to fraction form
    458,971.87/688,457.67 = 143,428.81/x
  3. Step 3: Cross multiply
    458,971.87x = 688,457.67 × 143,428.81
  4. Step 4: Simplify right side
    458,971.87x = 98,744,664,343.47
  5. Step 5: Solve for x
    x = 98,744,664,343.47/458,971.87
  6. Step 6: Final answer
    x = 215,143.17

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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.