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Finding the Fourth Proportional to 488,872.96, 734,432.16 and 345,109.36

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Solution

The fourth proportional to 488,872.96, 734,432.16 and 345,109.36 is: 518,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,872.96 : 734,432.16 = 345,109.36 : x
  2. Step 2: Convert to fraction form
    488,872.96/734,432.16 = 345,109.36/x
  3. Step 3: Cross multiply
    488,872.96x = 734,432.16 × 345,109.36
  4. Step 4: Simplify right side
    488,872.96x = 253,459,407,303.31
  5. Step 5: Solve for x
    x = 253,459,407,303.31/488,872.96
  6. Step 6: Final answer
    x = 518,456.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.