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Finding the Fourth Proportional to 458,916.35, 688,270.57 and 174,505.50

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Solution

The fourth proportional to 458,916.35, 688,270.57 and 174,505.50 is: 261,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,916.35 : 688,270.57 = 174,505.50 : x
  2. Step 2: Convert to fraction form
    458,916.35/688,270.57 = 174,505.50/x
  3. Step 3: Cross multiply
    458,916.35x = 688,270.57 × 174,505.50
  4. Step 4: Simplify right side
    458,916.35x = 120,106,999,516.87
  5. Step 5: Solve for x
    x = 120,106,999,516.87/458,916.35
  6. Step 6: Final answer
    x = 261,718.72

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