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Finding the Fourth Proportional to 665,775.64, 998,400.84 and 286,724.80

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Solution

The fourth proportional to 665,775.64, 998,400.84 and 286,724.80 is: 429,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,775.64 : 998,400.84 = 286,724.80 : x
  2. Step 2: Convert to fraction form
    665,775.64/998,400.84 = 286,724.80/x
  3. Step 3: Cross multiply
    665,775.64x = 998,400.84 × 286,724.80
  4. Step 4: Simplify right side
    665,775.64x = 286,266,281,168.83
  5. Step 5: Solve for x
    x = 286,266,281,168.83/665,775.64
  6. Step 6: Final answer
    x = 429,974.10

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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.