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Finding the Fourth Proportional to 294,428.64, 406,079.28 and 248,325.60

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Solution

The fourth proportional to 294,428.64, 406,079.28 and 248,325.60 is: 342,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,428.64 : 406,079.28 = 248,325.60 : x
  2. Step 2: Convert to fraction form
    294,428.64/406,079.28 = 248,325.60/x
  3. Step 3: Cross multiply
    294,428.64x = 406,079.28 × 248,325.60
  4. Step 4: Simplify right side
    294,428.64x = 100,839,880,853.57
  5. Step 5: Solve for x
    x = 100,839,880,853.57/294,428.64
  6. Step 6: Final answer
    x = 342,493.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.