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Finding the Fourth Proportional to 495,751.40, 682,551.78 and 420,180.20

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Solution

The fourth proportional to 495,751.40, 682,551.78 and 420,180.20 is: 578,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,751.40 : 682,551.78 = 420,180.20 : x
  2. Step 2: Convert to fraction form
    495,751.40/682,551.78 = 420,180.20/x
  3. Step 3: Cross multiply
    495,751.40x = 682,551.78 × 420,180.20
  4. Step 4: Simplify right side
    495,751.40x = 286,794,743,430.76
  5. Step 5: Solve for x
    x = 286,794,743,430.76/495,751.40
  6. Step 6: Final answer
    x = 578,505.16

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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.