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Finding the Fourth Proportional to 458,426.70, 687,640.05 and 290,465.10

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Solution

The fourth proportional to 458,426.70, 687,640.05 and 290,465.10 is: 435,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,426.70 : 687,640.05 = 290,465.10 : x
  2. Step 2: Convert to fraction form
    458,426.70/687,640.05 = 290,465.10/x
  3. Step 3: Cross multiply
    458,426.70x = 687,640.05 × 290,465.10
  4. Step 4: Simplify right side
    458,426.70x = 199,735,435,887.26
  5. Step 5: Solve for x
    x = 199,735,435,887.26/458,426.70
  6. Step 6: Final answer
    x = 435,697.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.