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Finding the Fourth Proportional to 538,653.60, 807,008.40 and 257,551.20

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Solution

The fourth proportional to 538,653.60, 807,008.40 and 257,551.20 is: 385,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,653.60 : 807,008.40 = 257,551.20 : x
  2. Step 2: Convert to fraction form
    538,653.60/807,008.40 = 257,551.20/x
  3. Step 3: Cross multiply
    538,653.60x = 807,008.40 × 257,551.20
  4. Step 4: Simplify right side
    538,653.60x = 207,845,981,830.08
  5. Step 5: Solve for x
    x = 207,845,981,830.08/538,653.60
  6. Step 6: Final answer
    x = 385,862.05

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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.