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Finding the Fourth Proportional to 412,886.40, 619,347.60 and 113,359.20

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Solution

The fourth proportional to 412,886.40, 619,347.60 and 113,359.20 is: 170,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,886.40 : 619,347.60 = 113,359.20 : x
  2. Step 2: Convert to fraction form
    412,886.40/619,347.60 = 113,359.20/x
  3. Step 3: Cross multiply
    412,886.40x = 619,347.60 × 113,359.20
  4. Step 4: Simplify right side
    412,886.40x = 70,208,748,457.92
  5. Step 5: Solve for x
    x = 70,208,748,457.92/412,886.40
  6. Step 6: Final answer
    x = 170,043.74

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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.