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Finding the Fourth Proportional to 538,347.20, 808,395.60 and 389,631.20

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Solution

The fourth proportional to 538,347.20, 808,395.60 and 389,631.20 is: 585,079.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,347.20 : 808,395.60 = 389,631.20 : x
  2. Step 2: Convert to fraction form
    538,347.20/808,395.60 = 389,631.20/x
  3. Step 3: Cross multiply
    538,347.20x = 808,395.60 × 389,631.20
  4. Step 4: Simplify right side
    538,347.20x = 314,976,147,702.72
  5. Step 5: Solve for x
    x = 314,976,147,702.72/538,347.20
  6. Step 6: Final answer
    x = 585,079.94

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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.