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Finding the Fourth Proportional to 257,563.17, 386,340.65 and 70,574.67

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Solution

The fourth proportional to 257,563.17, 386,340.65 and 70,574.67 is: 105,860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,563.17 : 386,340.65 = 70,574.67 : x
  2. Step 2: Convert to fraction form
    257,563.17/386,340.65 = 70,574.67/x
  3. Step 3: Cross multiply
    257,563.17x = 386,340.65 × 70,574.67
  4. Step 4: Simplify right side
    257,563.17x = 27,265,863,881.34
  5. Step 5: Solve for x
    x = 27,265,863,881.34/257,563.17
  6. Step 6: Final answer
    x = 105,860.88

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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.