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Finding the Fourth Proportional to 489,014.10, 732,646.35 and 419,030.10

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Solution

The fourth proportional to 489,014.10, 732,646.35 and 419,030.10 is: 627,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,014.10 : 732,646.35 = 419,030.10 : x
  2. Step 2: Convert to fraction form
    489,014.10/732,646.35 = 419,030.10/x
  3. Step 3: Cross multiply
    489,014.10x = 732,646.35 × 419,030.10
  4. Step 4: Simplify right side
    489,014.10x = 307,000,873,305.14
  5. Step 5: Solve for x
    x = 307,000,873,305.14/489,014.10
  6. Step 6: Final answer
    x = 627,795.54

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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.