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Finding the Fourth Proportional to 538,506.80, 808,416.30 and 272,130.20

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Solution

The fourth proportional to 538,506.80, 808,416.30 and 272,130.20 is: 408,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,506.80 : 808,416.30 = 272,130.20 : x
  2. Step 2: Convert to fraction form
    538,506.80/808,416.30 = 272,130.20/x
  3. Step 3: Cross multiply
    538,506.80x = 808,416.30 × 272,130.20
  4. Step 4: Simplify right side
    538,506.80x = 219,994,489,402.26
  5. Step 5: Solve for x
    x = 219,994,489,402.26/538,506.80
  6. Step 6: Final answer
    x = 408,526.86

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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.