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Finding the Fourth Proportional to 499,818.53, 689,032.16 and 356,329.46

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Solution

The fourth proportional to 499,818.53, 689,032.16 and 356,329.46 is: 491,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,818.53 : 689,032.16 = 356,329.46 : x
  2. Step 2: Convert to fraction form
    499,818.53/689,032.16 = 356,329.46/x
  3. Step 3: Cross multiply
    499,818.53x = 689,032.16 × 356,329.46
  4. Step 4: Simplify right side
    499,818.53x = 245,522,457,495.43
  5. Step 5: Solve for x
    x = 245,522,457,495.43/499,818.53
  6. Step 6: Final answer
    x = 491,223.20

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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.