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Finding the Fourth Proportional to 342,445.52, 512,971.96 and 279,490

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Solution

The fourth proportional to 342,445.52, 512,971.96 and 279,490 is: 418,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,445.52 : 512,971.96 = 279,490 : x
  2. Step 2: Convert to fraction form
    342,445.52/512,971.96 = 279,490/x
  3. Step 3: Cross multiply
    342,445.52x = 512,971.96 × 279,490
  4. Step 4: Simplify right side
    342,445.52x = 143,370,533,100.40
  5. Step 5: Solve for x
    x = 143,370,533,100.40/342,445.52
  6. Step 6: Final answer
    x = 418,666.69

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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.