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Finding the Fourth Proportional to 398,643.60, 597,760.20 and 118,124.40

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Solution

The fourth proportional to 398,643.60, 597,760.20 and 118,124.40 is: 177,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,643.60 : 597,760.20 = 118,124.40 : x
  2. Step 2: Convert to fraction form
    398,643.60/597,760.20 = 118,124.40/x
  3. Step 3: Cross multiply
    398,643.60x = 597,760.20 × 118,124.40
  4. Step 4: Simplify right side
    398,643.60x = 70,610,064,968.88
  5. Step 5: Solve for x
    x = 70,610,064,968.88/398,643.60
  6. Step 6: Final answer
    x = 177,125.80

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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.