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Finding the Fourth Proportional to 493,404.89, 680,904.29 and 289,459.31

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Solution

The fourth proportional to 493,404.89, 680,904.29 and 289,459.31 is: 399,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,404.89 : 680,904.29 = 289,459.31 : x
  2. Step 2: Convert to fraction form
    493,404.89/680,904.29 = 289,459.31/x
  3. Step 3: Cross multiply
    493,404.89x = 680,904.29 × 289,459.31
  4. Step 4: Simplify right side
    493,404.89x = 197,094,083,278.57
  5. Step 5: Solve for x
    x = 197,094,083,278.57/493,404.89
  6. Step 6: Final answer
    x = 399,457.10

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1.5x scale

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.