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Finding the Fourth Proportional to 310,730.34, 428,743.53 and 181,643.88

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Solution

The fourth proportional to 310,730.34, 428,743.53 and 181,643.88 is: 250,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,730.34 : 428,743.53 = 181,643.88 : x
  2. Step 2: Convert to fraction form
    310,730.34/428,743.53 = 181,643.88/x
  3. Step 3: Cross multiply
    310,730.34x = 428,743.53 × 181,643.88
  4. Step 4: Simplify right side
    310,730.34x = 77,878,638,314.10
  5. Step 5: Solve for x
    x = 77,878,638,314.10/310,730.34
  6. Step 6: Final answer
    x = 250,630.94

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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.