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Finding the Fourth Proportional to 529,137.56, 730,223.10 and 287,420.00

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Solution

The fourth proportional to 529,137.56, 730,223.10 and 287,420.00 is: 396,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,137.56 : 730,223.10 = 287,420.00 : x
  2. Step 2: Convert to fraction form
    529,137.56/730,223.10 = 287,420.00/x
  3. Step 3: Cross multiply
    529,137.56x = 730,223.10 × 287,420.00
  4. Step 4: Simplify right side
    529,137.56x = 209,880,719,750.89
  5. Step 5: Solve for x
    x = 209,880,719,750.89/529,137.56
  6. Step 6: Final answer
    x = 396,646.80

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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.