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Finding the Fourth Proportional to 513,373.21, 708,170.61 and 298,489.52

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Solution

The fourth proportional to 513,373.21, 708,170.61 and 298,489.52 is: 411,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,373.21 : 708,170.61 = 298,489.52 : x
  2. Step 2: Convert to fraction form
    513,373.21/708,170.61 = 298,489.52/x
  3. Step 3: Cross multiply
    513,373.21x = 708,170.61 × 298,489.52
  4. Step 4: Simplify right side
    513,373.21x = 211,381,505,457.01
  5. Step 5: Solve for x
    x = 211,381,505,457.01/513,373.21
  6. Step 6: Final answer
    x = 411,750.17

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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.