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Finding the Fourth Proportional to 576,415.40, 865,135.10 and 339,461.80

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Solution

The fourth proportional to 576,415.40, 865,135.10 and 339,461.80 is: 509,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,415.40 : 865,135.10 = 339,461.80 : x
  2. Step 2: Convert to fraction form
    576,415.40/865,135.10 = 339,461.80/x
  3. Step 3: Cross multiply
    576,415.40x = 865,135.10 × 339,461.80
  4. Step 4: Simplify right side
    576,415.40x = 293,680,318,289.18
  5. Step 5: Solve for x
    x = 293,680,318,289.18/576,415.40
  6. Step 6: Final answer
    x = 509,494.23

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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.