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Finding the Fourth Proportional to 319,191.40, 440,478.64 and 175,964.76

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Solution

The fourth proportional to 319,191.40, 440,478.64 and 175,964.76 is: 242,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,191.40 : 440,478.64 = 175,964.76 : x
  2. Step 2: Convert to fraction form
    319,191.40/440,478.64 = 175,964.76/x
  3. Step 3: Cross multiply
    319,191.40x = 440,478.64 × 175,964.76
  4. Step 4: Simplify right side
    319,191.40x = 77,508,718,172.73
  5. Step 5: Solve for x
    x = 77,508,718,172.73/319,191.40
  6. Step 6: Final answer
    x = 242,828.34

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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.