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Finding the Fourth Proportional to 528,907.89, 729,790.23 and 314,115.33

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Solution

The fourth proportional to 528,907.89, 729,790.23 and 314,115.33 is: 433,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,907.89 : 729,790.23 = 314,115.33 : x
  2. Step 2: Convert to fraction form
    528,907.89/729,790.23 = 314,115.33/x
  3. Step 3: Cross multiply
    528,907.89x = 729,790.23 × 314,115.33
  4. Step 4: Simplify right side
    528,907.89x = 229,238,298,927.23
  5. Step 5: Solve for x
    x = 229,238,298,927.23/528,907.89
  6. Step 6: Final answer
    x = 433,418.19

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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.