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Finding the Fourth Proportional to 310,937.42, 428,878.93 and 190,138.17

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Solution

The fourth proportional to 310,937.42, 428,878.93 and 190,138.17 is: 262,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,937.42 : 428,878.93 = 190,138.17 : x
  2. Step 2: Convert to fraction form
    310,937.42/428,878.93 = 190,138.17/x
  3. Step 3: Cross multiply
    310,937.42x = 428,878.93 × 190,138.17
  4. Step 4: Simplify right side
    310,937.42x = 81,546,253,444.01
  5. Step 5: Solve for x
    x = 81,546,253,444.01/310,937.42
  6. Step 6: Final answer
    x = 262,259.38

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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.