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Finding the Fourth Proportional to 510,804.45, 705,148.98 and 295,902.54

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Solution

The fourth proportional to 510,804.45, 705,148.98 and 295,902.54 is: 408,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,804.45 : 705,148.98 = 295,902.54 : x
  2. Step 2: Convert to fraction form
    510,804.45/705,148.98 = 295,902.54/x
  3. Step 3: Cross multiply
    510,804.45x = 705,148.98 × 295,902.54
  4. Step 4: Simplify right side
    510,804.45x = 208,655,374,260.41
  5. Step 5: Solve for x
    x = 208,655,374,260.41/510,804.45
  6. Step 6: Final answer
    x = 408,483.86

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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.