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Finding the Fourth Proportional to 230,042.84, 317,451.32 and 129,421.40

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Solution

The fourth proportional to 230,042.84, 317,451.32 and 129,421.40 is: 178,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,042.84 : 317,451.32 = 129,421.40 : x
  2. Step 2: Convert to fraction form
    230,042.84/317,451.32 = 129,421.40/x
  3. Step 3: Cross multiply
    230,042.84x = 317,451.32 × 129,421.40
  4. Step 4: Simplify right side
    230,042.84x = 41,084,994,266.25
  5. Step 5: Solve for x
    x = 41,084,994,266.25/230,042.84
  6. Step 6: Final answer
    x = 178,597.14

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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.