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Finding the Fourth Proportional to 665,302.40, 998,664.12 and 286,410.80

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Solution

The fourth proportional to 665,302.40, 998,664.12 and 286,410.80 is: 429,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,302.40 : 998,664.12 = 286,410.80 : x
  2. Step 2: Convert to fraction form
    665,302.40/998,664.12 = 286,410.80/x
  3. Step 3: Cross multiply
    665,302.40x = 998,664.12 × 286,410.80
  4. Step 4: Simplify right side
    665,302.40x = 286,028,189,540.50
  5. Step 5: Solve for x
    x = 286,028,189,540.50/665,302.40
  6. Step 6: Final answer
    x = 429,922.08

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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.