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Finding the Fourth Proportional to 402,421.40, 603,632.10 and 121,902.20

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Solution

The fourth proportional to 402,421.40, 603,632.10 and 121,902.20 is: 182,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,421.40 : 603,632.10 = 121,902.20 : x
  2. Step 2: Convert to fraction form
    402,421.40/603,632.10 = 121,902.20/x
  3. Step 3: Cross multiply
    402,421.40x = 603,632.10 × 121,902.20
  4. Step 4: Simplify right side
    402,421.40x = 73,584,080,980.62
  5. Step 5: Solve for x
    x = 73,584,080,980.62/402,421.40
  6. Step 6: Final answer
    x = 182,853.30

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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.