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Finding the Fourth Proportional to 405,712.80, 607,402.80 and 363,722.40

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Solution

The fourth proportional to 405,712.80, 607,402.80 and 363,722.40 is: 544,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,712.80 : 607,402.80 = 363,722.40 : x
  2. Step 2: Convert to fraction form
    405,712.80/607,402.80 = 363,722.40/x
  3. Step 3: Cross multiply
    405,712.80x = 607,402.80 × 363,722.40
  4. Step 4: Simplify right side
    405,712.80x = 220,926,004,182.72
  5. Step 5: Solve for x
    x = 220,926,004,182.72/405,712.80
  6. Step 6: Final answer
    x = 544,537.92

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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.