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Finding the Fourth Proportional to 556,091.97, 767,401.14 and 311,073.55

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Solution

The fourth proportional to 556,091.97, 767,401.14 and 311,073.55 is: 429,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,091.97 : 767,401.14 = 311,073.55 : x
  2. Step 2: Convert to fraction form
    556,091.97/767,401.14 = 311,073.55/x
  3. Step 3: Cross multiply
    556,091.97x = 767,401.14 × 311,073.55
  4. Step 4: Simplify right side
    556,091.97x = 238,718,193,056.84
  5. Step 5: Solve for x
    x = 238,718,193,056.84/556,091.97
  6. Step 6: Final answer
    x = 429,278.26

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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.