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Finding the Fourth Proportional to 310,188.20, 465,368.70 and 152,421.80

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Solution

The fourth proportional to 310,188.20, 465,368.70 and 152,421.80 is: 228,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,188.20 : 465,368.70 = 152,421.80 : x
  2. Step 2: Convert to fraction form
    310,188.20/465,368.70 = 152,421.80/x
  3. Step 3: Cross multiply
    310,188.20x = 465,368.70 × 152,421.80
  4. Step 4: Simplify right side
    310,188.20x = 70,932,334,917.66
  5. Step 5: Solve for x
    x = 70,932,334,917.66/310,188.20
  6. Step 6: Final answer
    x = 228,675.16

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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.