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Finding the Fourth Proportional to 310,663.62, 428,302.89 and 203,048.64

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Solution

The fourth proportional to 310,663.62, 428,302.89 and 203,048.64 is: 279,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,663.62 : 428,302.89 = 203,048.64 : x
  2. Step 2: Convert to fraction form
    310,663.62/428,302.89 = 203,048.64/x
  3. Step 3: Cross multiply
    310,663.62x = 428,302.89 × 203,048.64
  4. Step 4: Simplify right side
    310,663.62x = 86,966,319,322.57
  5. Step 5: Solve for x
    x = 86,966,319,322.57/310,663.62
  6. Step 6: Final answer
    x = 279,937.25

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1.5x scale

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.