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Finding the Fourth Proportional to 512,999.60, 707,938.80 and 286,645.10

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Solution

The fourth proportional to 512,999.60, 707,938.80 and 286,645.10 is: 395,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,999.60 : 707,938.80 = 286,645.10 : x
  2. Step 2: Convert to fraction form
    512,999.60/707,938.80 = 286,645.10/x
  3. Step 3: Cross multiply
    512,999.60x = 707,938.80 × 286,645.10
  4. Step 4: Simplify right side
    512,999.60x = 202,927,188,119.88
  5. Step 5: Solve for x
    x = 202,927,188,119.88/512,999.60
  6. Step 6: Final answer
    x = 395,569.88

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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.