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Finding the Fourth Proportional to 535,772.52, 739,312.16 and 320,907.06

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Solution

The fourth proportional to 535,772.52, 739,312.16 and 320,907.06 is: 442,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,772.52 : 739,312.16 = 320,907.06 : x
  2. Step 2: Convert to fraction form
    535,772.52/739,312.16 = 320,907.06/x
  3. Step 3: Cross multiply
    535,772.52x = 739,312.16 × 320,907.06
  4. Step 4: Simplify right side
    535,772.52x = 237,250,490,083.31
  5. Step 5: Solve for x
    x = 237,250,490,083.31/535,772.52
  6. Step 6: Final answer
    x = 442,819.45

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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.