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Finding the Fourth Proportional to 343,886.30, 515,829.45 and 302,414.30

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Solution

The fourth proportional to 343,886.30, 515,829.45 and 302,414.30 is: 453,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,886.30 : 515,829.45 = 302,414.30 : x
  2. Step 2: Convert to fraction form
    343,886.30/515,829.45 = 302,414.30/x
  3. Step 3: Cross multiply
    343,886.30x = 515,829.45 × 302,414.30
  4. Step 4: Simplify right side
    343,886.30x = 155,994,202,041.14
  5. Step 5: Solve for x
    x = 155,994,202,041.14/343,886.30
  6. Step 6: Final answer
    x = 453,621.45

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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.