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Finding the Fourth Proportional to 507,655.64, 700,584.20 and 289,899.85

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Solution

The fourth proportional to 507,655.64, 700,584.20 and 289,899.85 is: 400,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,655.64 : 700,584.20 = 289,899.85 : x
  2. Step 2: Convert to fraction form
    507,655.64/700,584.20 = 289,899.85/x
  3. Step 3: Cross multiply
    507,655.64x = 700,584.20 × 289,899.85
  4. Step 4: Simplify right side
    507,655.64x = 203,099,254,492.37
  5. Step 5: Solve for x
    x = 203,099,254,492.37/507,655.64
  6. Step 6: Final answer
    x = 400,072.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.