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Finding the Fourth Proportional to 310,263.21, 428,164.79 and 174,302.91

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Solution

The fourth proportional to 310,263.21, 428,164.79 and 174,302.91 is: 240,538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,263.21 : 428,164.79 = 174,302.91 : x
  2. Step 2: Convert to fraction form
    310,263.21/428,164.79 = 174,302.91/x
  3. Step 3: Cross multiply
    310,263.21x = 428,164.79 × 174,302.91
  4. Step 4: Simplify right side
    310,263.21x = 74,630,367,985.02
  5. Step 5: Solve for x
    x = 74,630,367,985.02/310,263.21
  6. Step 6: Final answer
    x = 240,538.89

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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.