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Finding the Fourth Proportional to 312,066.40, 468,099.60 and 264,827.20

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Solution

The fourth proportional to 312,066.40, 468,099.60 and 264,827.20 is: 397,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,066.40 : 468,099.60 = 264,827.20 : x
  2. Step 2: Convert to fraction form
    312,066.40/468,099.60 = 264,827.20/x
  3. Step 3: Cross multiply
    312,066.40x = 468,099.60 × 264,827.20
  4. Step 4: Simplify right side
    312,066.40x = 123,965,506,389.12
  5. Step 5: Solve for x
    x = 123,965,506,389.12/312,066.40
  6. Step 6: Final answer
    x = 397,240.80

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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.