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Finding the Fourth Proportional to 310,106.02, 465,191.20 and 85,466.48

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Solution

The fourth proportional to 310,106.02, 465,191.20 and 85,466.48 is: 128,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,106.02 : 465,191.20 = 85,466.48 : x
  2. Step 2: Convert to fraction form
    310,106.02/465,191.20 = 85,466.48/x
  3. Step 3: Cross multiply
    310,106.02x = 465,191.20 × 85,466.48
  4. Step 4: Simplify right side
    310,106.02x = 39,758,254,390.98
  5. Step 5: Solve for x
    x = 39,758,254,390.98/310,106.02
  6. Step 6: Final answer
    x = 128,208.59

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1.5x scale

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.