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Finding the Fourth Proportional to 461,064, 691,330.32 and 180,428.16

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Solution

The fourth proportional to 461,064, 691,330.32 and 180,428.16 is: 270,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,064 : 691,330.32 = 180,428.16 : x
  2. Step 2: Convert to fraction form
    461,064/691,330.32 = 180,428.16/x
  3. Step 3: Cross multiply
    461,064x = 691,330.32 × 180,428.16
  4. Step 4: Simplify right side
    461,064x = 124,735,457,589.81
  5. Step 5: Solve for x
    x = 124,735,457,589.81/461,064
  6. Step 6: Final answer
    x = 270,538.27

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1.5x scale

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.