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Finding the Fourth Proportional to 438,597, 605,268.96 and 257,312.04

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Solution

The fourth proportional to 438,597, 605,268.96 and 257,312.04 is: 355,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,597 : 605,268.96 = 257,312.04 : x
  2. Step 2: Convert to fraction form
    438,597/605,268.96 = 257,312.04/x
  3. Step 3: Cross multiply
    438,597x = 605,268.96 × 257,312.04
  4. Step 4: Simplify right side
    438,597x = 155,742,990,846.28
  5. Step 5: Solve for x
    x = 155,742,990,846.28/438,597
  6. Step 6: Final answer
    x = 355,093.61

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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.