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Finding the Fourth Proportional to 538,347.60, 807,594.30 and 201,306.60

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Solution

The fourth proportional to 538,347.60, 807,594.30 and 201,306.60 is: 301,987.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,347.60 : 807,594.30 = 201,306.60 : x
  2. Step 2: Convert to fraction form
    538,347.60/807,594.30 = 201,306.60/x
  3. Step 3: Cross multiply
    538,347.60x = 807,594.30 × 201,306.60
  4. Step 4: Simplify right side
    538,347.60x = 162,574,062,712.38
  5. Step 5: Solve for x
    x = 162,574,062,712.38/538,347.60
  6. Step 6: Final answer
    x = 301,987.16

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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.