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Finding the Fourth Proportional to 537,720.60, 805,693.33 and 312,448.66

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Solution

The fourth proportional to 537,720.60, 805,693.33 and 312,448.66 is: 468,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,720.60 : 805,693.33 = 312,448.66 : x
  2. Step 2: Convert to fraction form
    537,720.60/805,693.33 = 312,448.66/x
  3. Step 3: Cross multiply
    537,720.60x = 805,693.33 × 312,448.66
  4. Step 4: Simplify right side
    537,720.60x = 251,737,801,329.44
  5. Step 5: Solve for x
    x = 251,737,801,329.44/537,720.60
  6. Step 6: Final answer
    x = 468,157.26

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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.