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Finding the Fourth Proportional to 499,803.84, 689,011.90 and 356,314.77

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Solution

The fourth proportional to 499,803.84, 689,011.90 and 356,314.77 is: 491,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,803.84 : 689,011.90 = 356,314.77 : x
  2. Step 2: Convert to fraction form
    499,803.84/689,011.90 = 356,314.77/x
  3. Step 3: Cross multiply
    499,803.84x = 689,011.90 × 356,314.77
  4. Step 4: Simplify right side
    499,803.84x = 245,505,118,368.77
  5. Step 5: Solve for x
    x = 245,505,118,368.77/499,803.84
  6. Step 6: Final answer
    x = 491,202.94

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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.