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Finding the Fourth Proportional to 310,328.40, 465,055.20 and 191,647.20

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Solution

The fourth proportional to 310,328.40, 465,055.20 and 191,647.20 is: 287,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,328.40 : 465,055.20 = 191,647.20 : x
  2. Step 2: Convert to fraction form
    310,328.40/465,055.20 = 191,647.20/x
  3. Step 3: Cross multiply
    310,328.40x = 465,055.20 × 191,647.20
  4. Step 4: Simplify right side
    310,328.40x = 89,126,526,925.44
  5. Step 5: Solve for x
    x = 89,126,526,925.44/310,328.40
  6. Step 6: Final answer
    x = 287,200.68

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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.