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Finding the Fourth Proportional to 738,804, 1,019,549.76 and 420,852

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Solution

The fourth proportional to 738,804, 1,019,549.76 and 420,852 is: 580,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,804 : 1,019,549.76 = 420,852 : x
  2. Step 2: Convert to fraction form
    738,804/1,019,549.76 = 420,852/x
  3. Step 3: Cross multiply
    738,804x = 1,019,549.76 × 420,852
  4. Step 4: Simplify right side
    738,804x = 429,079,555,595.52
  5. Step 5: Solve for x
    x = 429,079,555,595.52/738,804
  6. Step 6: Final answer
    x = 580,775.90

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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.