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Finding the Fourth Proportional to 288,456.40, 398,064 and 175,315.60

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Solution

The fourth proportional to 288,456.40, 398,064 and 175,315.60 is: 241,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,456.40 : 398,064 = 175,315.60 : x
  2. Step 2: Convert to fraction form
    288,456.40/398,064 = 175,315.60/x
  3. Step 3: Cross multiply
    288,456.40x = 398,064 × 175,315.60
  4. Step 4: Simplify right side
    288,456.40x = 69,786,828,998.40
  5. Step 5: Solve for x
    x = 69,786,828,998.40/288,456.40
  6. Step 6: Final answer
    x = 241,931.98

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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.