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Finding the Fourth Proportional to 489,020.10, 732,655.35 and 419,036.10

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Solution

The fourth proportional to 489,020.10, 732,655.35 and 419,036.10 is: 627,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,020.10 : 732,655.35 = 419,036.10 : x
  2. Step 2: Convert to fraction form
    489,020.10/732,655.35 = 419,036.10/x
  3. Step 3: Cross multiply
    489,020.10x = 732,655.35 × 419,036.10
  4. Step 4: Simplify right side
    489,020.10x = 307,009,040,508.14
  5. Step 5: Solve for x
    x = 307,009,040,508.14/489,020.10
  6. Step 6: Final answer
    x = 627,804.54

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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.