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Finding the Fourth Proportional to 529,528.74, 730,856 and 314,627.50

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Solution

The fourth proportional to 529,528.74, 730,856 and 314,627.50 is: 434,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,528.74 : 730,856 = 314,627.50 : x
  2. Step 2: Convert to fraction form
    529,528.74/730,856 = 314,627.50/x
  3. Step 3: Cross multiply
    529,528.74x = 730,856 × 314,627.50
  4. Step 4: Simplify right side
    529,528.74x = 229,947,396,140
  5. Step 5: Solve for x
    x = 229,947,396,140/529,528.74
  6. Step 6: Final answer
    x = 434,249.13

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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.