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Finding the Fourth Proportional to 310,090.40, 465,135.60 and 240,106.40

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Solution

The fourth proportional to 310,090.40, 465,135.60 and 240,106.40 is: 360,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,090.40 : 465,135.60 = 240,106.40 : x
  2. Step 2: Convert to fraction form
    310,090.40/465,135.60 = 240,106.40/x
  3. Step 3: Cross multiply
    310,090.40x = 465,135.60 × 240,106.40
  4. Step 4: Simplify right side
    310,090.40x = 111,682,034,427.84
  5. Step 5: Solve for x
    x = 111,682,034,427.84/310,090.40
  6. Step 6: Final answer
    x = 360,159.60

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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.