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Finding the Fourth Proportional to 540,767.57, 746,258.16 and 311,241.23

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Solution

The fourth proportional to 540,767.57, 746,258.16 and 311,241.23 is: 429,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,767.57 : 746,258.16 = 311,241.23 : x
  2. Step 2: Convert to fraction form
    540,767.57/746,258.16 = 311,241.23/x
  3. Step 3: Cross multiply
    540,767.57x = 746,258.16 × 311,241.23
  4. Step 4: Simplify right side
    540,767.57x = 232,266,312,047.97
  5. Step 5: Solve for x
    x = 232,266,312,047.97/540,767.57
  6. Step 6: Final answer
    x = 429,512.28

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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.