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Finding the Fourth Proportional to 529,064.88, 730,114.80 and 287,352.16

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Solution

The fourth proportional to 529,064.88, 730,114.80 and 287,352.16 is: 396,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,064.88 : 730,114.80 = 287,352.16 : x
  2. Step 2: Convert to fraction form
    529,064.88/730,114.80 = 287,352.16/x
  3. Step 3: Cross multiply
    529,064.88x = 730,114.80 × 287,352.16
  4. Step 4: Simplify right side
    529,064.88x = 209,800,064,827.97
  5. Step 5: Solve for x
    x = 209,800,064,827.97/529,064.88
  6. Step 6: Final answer
    x = 396,548.84

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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.