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Finding the Fourth Proportional to 412,886.44, 619,181.16 and 142,941.28

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Solution

The fourth proportional to 412,886.44, 619,181.16 and 142,941.28 is: 214,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,886.44 : 619,181.16 = 142,941.28 : x
  2. Step 2: Convert to fraction form
    412,886.44/619,181.16 = 142,941.28/x
  3. Step 3: Cross multiply
    412,886.44x = 619,181.16 × 142,941.28
  4. Step 4: Simplify right side
    412,886.44x = 88,506,547,562.28
  5. Step 5: Solve for x
    x = 88,506,547,562.28/412,886.44
  6. Step 6: Final answer
    x = 214,360.51

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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.