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Finding the Fourth Proportional to 499,330.66, 689,026.80 and 284,457.91

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Solution

The fourth proportional to 499,330.66, 689,026.80 and 284,457.91 is: 392,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,330.66 : 689,026.80 = 284,457.91 : x
  2. Step 2: Convert to fraction form
    499,330.66/689,026.80 = 284,457.91/x
  3. Step 3: Cross multiply
    499,330.66x = 689,026.80 × 284,457.91
  4. Step 4: Simplify right side
    499,330.66x = 195,999,123,461.99
  5. Step 5: Solve for x
    x = 195,999,123,461.99/499,330.66
  6. Step 6: Final answer
    x = 392,523.71

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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.