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Finding the Fourth Proportional to 295,647.31, 407,993.16 and 159,681.21

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Solution

The fourth proportional to 295,647.31, 407,993.16 and 159,681.21 is: 220,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,647.31 : 407,993.16 = 159,681.21 : x
  2. Step 2: Convert to fraction form
    295,647.31/407,993.16 = 159,681.21/x
  3. Step 3: Cross multiply
    295,647.31x = 407,993.16 × 159,681.21
  4. Step 4: Simplify right side
    295,647.31x = 65,148,841,460.52
  5. Step 5: Solve for x
    x = 65,148,841,460.52/295,647.31
  6. Step 6: Final answer
    x = 220,360.00

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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.