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Finding the Fourth Proportional to 298,064.80, 446,708.40 and 120,426.40

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Solution

The fourth proportional to 298,064.80, 446,708.40 and 120,426.40 is: 180,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,064.80 : 446,708.40 = 120,426.40 : x
  2. Step 2: Convert to fraction form
    298,064.80/446,708.40 = 120,426.40/x
  3. Step 3: Cross multiply
    298,064.80x = 446,708.40 × 120,426.40
  4. Step 4: Simplify right side
    298,064.80x = 53,795,484,461.76
  5. Step 5: Solve for x
    x = 53,795,484,461.76/298,064.80
  6. Step 6: Final answer
    x = 180,482.51

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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.