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Finding the Fourth Proportional to 514,192.96, 709,498.17 and 320,661.38

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Solution

The fourth proportional to 514,192.96, 709,498.17 and 320,661.38 is: 442,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,192.96 : 709,498.17 = 320,661.38 : x
  2. Step 2: Convert to fraction form
    514,192.96/709,498.17 = 320,661.38/x
  3. Step 3: Cross multiply
    514,192.96x = 709,498.17 × 320,661.38
  4. Step 4: Simplify right side
    514,192.96x = 227,508,664,073.42
  5. Step 5: Solve for x
    x = 227,508,664,073.42/514,192.96
  6. Step 6: Final answer
    x = 442,457.76

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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.