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Finding the Fourth Proportional to 257,282.64, 385,912.08 and 70,293.60

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Solution

The fourth proportional to 257,282.64, 385,912.08 and 70,293.60 is: 105,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,282.64 : 385,912.08 = 70,293.60 : x
  2. Step 2: Convert to fraction form
    257,282.64/385,912.08 = 70,293.60/x
  3. Step 3: Cross multiply
    257,282.64x = 385,912.08 × 70,293.60
  4. Step 4: Simplify right side
    257,282.64x = 27,127,149,386.69
  5. Step 5: Solve for x
    x = 27,127,149,386.69/257,282.64
  6. Step 6: Final answer
    x = 105,437.15

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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.