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Finding the Fourth Proportional to 815,774.09, 1,223,534.77 and 416,709.77

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Solution

The fourth proportional to 815,774.09, 1,223,534.77 and 416,709.77 is: 625,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,774.09 : 1,223,534.77 = 416,709.77 : x
  2. Step 2: Convert to fraction form
    815,774.09/1,223,534.77 = 416,709.77/x
  3. Step 3: Cross multiply
    815,774.09x = 1,223,534.77 × 416,709.77
  4. Step 4: Simplify right side
    815,774.09x = 509,858,885,434.26
  5. Step 5: Solve for x
    x = 509,858,885,434.26/815,774.09
  6. Step 6: Final answer
    x = 625,000.10

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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.