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Finding the Fourth Proportional to 319,064.64, 440,312.16 and 175,829.82

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Solution

The fourth proportional to 319,064.64, 440,312.16 and 175,829.82 is: 242,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,064.64 : 440,312.16 = 175,829.82 : x
  2. Step 2: Convert to fraction form
    319,064.64/440,312.16 = 175,829.82/x
  3. Step 3: Cross multiply
    319,064.64x = 440,312.16 × 175,829.82
  4. Step 4: Simplify right side
    319,064.64x = 77,420,007,836.61
  5. Step 5: Solve for x
    x = 77,420,007,836.61/319,064.64
  6. Step 6: Final answer
    x = 242,646.78

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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.