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Finding the Fourth Proportional to 610,430.52, 914,464.98 and 343,379.64

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Solution

The fourth proportional to 610,430.52, 914,464.98 and 343,379.64 is: 514,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,430.52 : 914,464.98 = 343,379.64 : x
  2. Step 2: Convert to fraction form
    610,430.52/914,464.98 = 343,379.64/x
  3. Step 3: Cross multiply
    610,430.52x = 914,464.98 × 343,379.64
  4. Step 4: Simplify right side
    610,430.52x = 314,008,655,625.01
  5. Step 5: Solve for x
    x = 314,008,655,625.01/610,430.52
  6. Step 6: Final answer
    x = 514,405.24

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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.