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Finding the Fourth Proportional to 319,498.52, 440,907.93 and 176,258.57

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Solution

The fourth proportional to 319,498.52, 440,907.93 and 176,258.57 is: 243,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,498.52 : 440,907.93 = 176,258.57 : x
  2. Step 2: Convert to fraction form
    319,498.52/440,907.93 = 176,258.57/x
  3. Step 3: Cross multiply
    319,498.52x = 440,907.93 × 176,258.57
  4. Step 4: Simplify right side
    319,498.52x = 77,713,799,699.89
  5. Step 5: Solve for x
    x = 77,713,799,699.89/319,498.52
  6. Step 6: Final answer
    x = 243,236.80

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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.