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Finding the Fourth Proportional to 557,868.20, 770,228.86 and 428,576.40

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Solution

The fourth proportional to 557,868.20, 770,228.86 and 428,576.40 is: 591,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,868.20 : 770,228.86 = 428,576.40 : x
  2. Step 2: Convert to fraction form
    557,868.20/770,228.86 = 428,576.40/x
  3. Step 3: Cross multiply
    557,868.20x = 770,228.86 × 428,576.40
  4. Step 4: Simplify right side
    557,868.20x = 330,101,911,994.90
  5. Step 5: Solve for x
    x = 330,101,911,994.90/557,868.20
  6. Step 6: Final answer
    x = 591,720.25

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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.