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Finding the Fourth Proportional to 337,643.40, 506,465.10 and 258,911.40

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Solution

The fourth proportional to 337,643.40, 506,465.10 and 258,911.40 is: 388,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,643.40 : 506,465.10 = 258,911.40 : x
  2. Step 2: Convert to fraction form
    337,643.40/506,465.10 = 258,911.40/x
  3. Step 3: Cross multiply
    337,643.40x = 506,465.10 × 258,911.40
  4. Step 4: Simplify right side
    337,643.40x = 131,129,588,092.14
  5. Step 5: Solve for x
    x = 131,129,588,092.14/337,643.40
  6. Step 6: Final answer
    x = 388,367.10

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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.