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Finding the Fourth Proportional to 319,294.10, 440,605.71 and 176,055.32

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Solution

The fourth proportional to 319,294.10, 440,605.71 and 176,055.32 is: 242,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,294.10 : 440,605.71 = 176,055.32 : x
  2. Step 2: Convert to fraction form
    319,294.10/440,605.71 = 176,055.32/x
  3. Step 3: Cross multiply
    319,294.10x = 440,605.71 × 176,055.32
  4. Step 4: Simplify right side
    319,294.10x = 77,570,980,369.39
  5. Step 5: Solve for x
    x = 77,570,980,369.39/319,294.10
  6. Step 6: Final answer
    x = 242,945.23

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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.