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Finding the Fourth Proportional to 523,134.12, 784,156.86 and 242,420.52

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Solution

The fourth proportional to 523,134.12, 784,156.86 and 242,420.52 is: 363,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,134.12 : 784,156.86 = 242,420.52 : x
  2. Step 2: Convert to fraction form
    523,134.12/784,156.86 = 242,420.52/x
  3. Step 3: Cross multiply
    523,134.12x = 784,156.86 × 242,420.52
  4. Step 4: Simplify right side
    523,134.12x = 190,095,713,762.77
  5. Step 5: Solve for x
    x = 190,095,713,762.77/523,134.12
  6. Step 6: Final answer
    x = 363,378.54

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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.