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Finding the Fourth Proportional to 557,585.97, 769,506.75 and 315,870.54

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Solution

The fourth proportional to 557,585.97, 769,506.75 and 315,870.54 is: 435,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,585.97 : 769,506.75 = 315,870.54 : x
  2. Step 2: Convert to fraction form
    557,585.97/769,506.75 = 315,870.54/x
  3. Step 3: Cross multiply
    557,585.97x = 769,506.75 × 315,870.54
  4. Step 4: Simplify right side
    557,585.97x = 243,064,512,656.15
  5. Step 5: Solve for x
    x = 243,064,512,656.15/557,585.97
  6. Step 6: Final answer
    x = 435,922.94

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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.