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Finding the Fourth Proportional to 257,200.80, 385,801.20 and 70,212.30

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Solution

The fourth proportional to 257,200.80, 385,801.20 and 70,212.30 is: 105,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,200.80 : 385,801.20 = 70,212.30 : x
  2. Step 2: Convert to fraction form
    257,200.80/385,801.20 = 70,212.30/x
  3. Step 3: Cross multiply
    257,200.80x = 385,801.20 × 70,212.30
  4. Step 4: Simplify right side
    257,200.80x = 27,087,989,594.76
  5. Step 5: Solve for x
    x = 27,087,989,594.76/257,200.80
  6. Step 6: Final answer
    x = 105,318.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.