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Finding the Fourth Proportional to 523,276.40, 785,836.20 and 506,687.60

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Solution

The fourth proportional to 523,276.40, 785,836.20 and 506,687.60 is: 760,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,276.40 : 785,836.20 = 506,687.60 : x
  2. Step 2: Convert to fraction form
    523,276.40/785,836.20 = 506,687.60/x
  3. Step 3: Cross multiply
    523,276.40x = 785,836.20 × 506,687.60
  4. Step 4: Simplify right side
    523,276.40x = 398,173,458,171.12
  5. Step 5: Solve for x
    x = 398,173,458,171.12/523,276.40
  6. Step 6: Final answer
    x = 760,923.78

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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.