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Finding the Fourth Proportional to 310,007.60, 465,011.40 and 122,922.80

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Solution

The fourth proportional to 310,007.60, 465,011.40 and 122,922.80 is: 184,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,007.60 : 465,011.40 = 122,922.80 : x
  2. Step 2: Convert to fraction form
    310,007.60/465,011.40 = 122,922.80/x
  3. Step 3: Cross multiply
    310,007.60x = 465,011.40 × 122,922.80
  4. Step 4: Simplify right side
    310,007.60x = 57,160,503,319.92
  5. Step 5: Solve for x
    x = 57,160,503,319.92/310,007.60
  6. Step 6: Final answer
    x = 184,384.20

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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.