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Finding the Fourth Proportional to 268,009.40, 402,014.10 and 142,038.20

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Solution

The fourth proportional to 268,009.40, 402,014.10 and 142,038.20 is: 213,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,009.40 : 402,014.10 = 142,038.20 : x
  2. Step 2: Convert to fraction form
    268,009.40/402,014.10 = 142,038.20/x
  3. Step 3: Cross multiply
    268,009.40x = 402,014.10 × 142,038.20
  4. Step 4: Simplify right side
    268,009.40x = 57,101,359,138.62
  5. Step 5: Solve for x
    x = 57,101,359,138.62/268,009.40
  6. Step 6: Final answer
    x = 213,057.30

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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.