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Finding the Fourth Proportional to 319,304.60, 440,643.42 and 176,069.72

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Solution

The fourth proportional to 319,304.60, 440,643.42 and 176,069.72 is: 242,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,304.60 : 440,643.42 = 176,069.72 : x
  2. Step 2: Convert to fraction form
    319,304.60/440,643.42 = 176,069.72/x
  3. Step 3: Cross multiply
    319,304.60x = 440,643.42 × 176,069.72
  4. Step 4: Simplify right side
    319,304.60x = 77,583,963,579.24
  5. Step 5: Solve for x
    x = 77,583,963,579.24/319,304.60
  6. Step 6: Final answer
    x = 242,977.91

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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.