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Finding the Fourth Proportional to 507,128.95, 699,884.90 and 280,774.45

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Solution

The fourth proportional to 507,128.95, 699,884.90 and 280,774.45 is: 387,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,128.95 : 699,884.90 = 280,774.45 : x
  2. Step 2: Convert to fraction form
    507,128.95/699,884.90 = 280,774.45/x
  3. Step 3: Cross multiply
    507,128.95x = 699,884.90 × 280,774.45
  4. Step 4: Simplify right side
    507,128.95x = 196,509,797,860.81
  5. Step 5: Solve for x
    x = 196,509,797,860.81/507,128.95
  6. Step 6: Final answer
    x = 387,494.73

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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.