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Finding the Fourth Proportional to 418,852.26, 577,756.94 and 365,265.90

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Solution

The fourth proportional to 418,852.26, 577,756.94 and 365,265.90 is: 503,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,852.26 : 577,756.94 = 365,265.90 : x
  2. Step 2: Convert to fraction form
    418,852.26/577,756.94 = 365,265.90/x
  3. Step 3: Cross multiply
    418,852.26x = 577,756.94 × 365,265.90
  4. Step 4: Simplify right side
    418,852.26x = 211,034,906,844.02
  5. Step 5: Solve for x
    x = 211,034,906,844.02/418,852.26
  6. Step 6: Final answer
    x = 503,840.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.