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Finding the Fourth Proportional to 528,908.64, 729,791.28 and 314,116.08

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Solution

The fourth proportional to 528,908.64, 729,791.28 and 314,116.08 is: 433,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,908.64 : 729,791.28 = 314,116.08 : x
  2. Step 2: Convert to fraction form
    528,908.64/729,791.28 = 314,116.08/x
  3. Step 3: Cross multiply
    528,908.64x = 729,791.28 × 314,116.08
  4. Step 4: Simplify right side
    528,908.64x = 229,239,176,091.78
  5. Step 5: Solve for x
    x = 229,239,176,091.78/528,908.64
  6. Step 6: Final answer
    x = 433,419.23

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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.