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Finding the Fourth Proportional to 568,955.20, 785,146.88 and 314,304

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Solution

The fourth proportional to 568,955.20, 785,146.88 and 314,304 is: 433,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,955.20 : 785,146.88 = 314,304 : x
  2. Step 2: Convert to fraction form
    568,955.20/785,146.88 = 314,304/x
  3. Step 3: Cross multiply
    568,955.20x = 785,146.88 × 314,304
  4. Step 4: Simplify right side
    568,955.20x = 246,774,804,971.52
  5. Step 5: Solve for x
    x = 246,774,804,971.52/568,955.20
  6. Step 6: Final answer
    x = 433,733.28

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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.