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Finding the Fourth Proportional to 319,310.64, 440,640 and 176,068.08

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Solution

The fourth proportional to 319,310.64, 440,640 and 176,068.08 is: 242,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,310.64 : 440,640 = 176,068.08 : x
  2. Step 2: Convert to fraction form
    319,310.64/440,640 = 176,068.08/x
  3. Step 3: Cross multiply
    319,310.64x = 440,640 × 176,068.08
  4. Step 4: Simplify right side
    319,310.64x = 77,582,638,771.20
  5. Step 5: Solve for x
    x = 77,582,638,771.20/319,310.64
  6. Step 6: Final answer
    x = 242,969.16

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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.