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Finding the Fourth Proportional to 528,725.32, 729,653.27 and 313,866.21

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Solution

The fourth proportional to 528,725.32, 729,653.27 and 313,866.21 is: 433,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,725.32 : 729,653.27 = 313,866.21 : x
  2. Step 2: Convert to fraction form
    528,725.32/729,653.27 = 313,866.21/x
  3. Step 3: Cross multiply
    528,725.32x = 729,653.27 × 313,866.21
  4. Step 4: Simplify right side
    528,725.32x = 229,013,506,469.01
  5. Step 5: Solve for x
    x = 229,013,506,469.01/528,725.32
  6. Step 6: Final answer
    x = 433,142.69

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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.