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Finding the Fourth Proportional to 343,035.08, 514,505.91 and 90,294.40

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Solution

The fourth proportional to 343,035.08, 514,505.91 and 90,294.40 is: 135,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,035.08 : 514,505.91 = 90,294.40 : x
  2. Step 2: Convert to fraction form
    343,035.08/514,505.91 = 90,294.40/x
  3. Step 3: Cross multiply
    343,035.08x = 514,505.91 × 90,294.40
  4. Step 4: Simplify right side
    343,035.08x = 46,457,004,360.78
  5. Step 5: Solve for x
    x = 46,457,004,360.78/343,035.08
  6. Step 6: Final answer
    x = 135,429.31

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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.