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Finding the Fourth Proportional to 507,665.64, 700,489.56 and 289,774.80

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Solution

The fourth proportional to 507,665.64, 700,489.56 and 289,774.80 is: 399,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,665.64 : 700,489.56 = 289,774.80 : x
  2. Step 2: Convert to fraction form
    507,665.64/700,489.56 = 289,774.80/x
  3. Step 3: Cross multiply
    507,665.64x = 700,489.56 × 289,774.80
  4. Step 4: Simplify right side
    507,665.64x = 202,984,222,151.09
  5. Step 5: Solve for x
    x = 202,984,222,151.09/507,665.64
  6. Step 6: Final answer
    x = 399,838.41

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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.