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Finding the Fourth Proportional to 507,008.57, 698,863.14 and 343,614.15

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Solution

The fourth proportional to 507,008.57, 698,863.14 and 343,614.15 is: 473,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,008.57 : 698,863.14 = 343,614.15 : x
  2. Step 2: Convert to fraction form
    507,008.57/698,863.14 = 343,614.15/x
  3. Step 3: Cross multiply
    507,008.57x = 698,863.14 × 343,614.15
  4. Step 4: Simplify right side
    507,008.57x = 240,139,263,817.43
  5. Step 5: Solve for x
    x = 240,139,263,817.43/507,008.57
  6. Step 6: Final answer
    x = 473,639.46

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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.