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Finding the Fourth Proportional to 523,064, 784,712.64 and 190,640

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Solution

The fourth proportional to 523,064, 784,712.64 and 190,640 is: 286,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,064 : 784,712.64 = 190,640 : x
  2. Step 2: Convert to fraction form
    523,064/784,712.64 = 190,640/x
  3. Step 3: Cross multiply
    523,064x = 784,712.64 × 190,640
  4. Step 4: Simplify right side
    523,064x = 149,597,617,689.60
  5. Step 5: Solve for x
    x = 149,597,617,689.60/523,064
  6. Step 6: Final answer
    x = 286,002.51

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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.