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Finding the Fourth Proportional to 257,378.14, 386,061.74 and 70,389.64

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Solution

The fourth proportional to 257,378.14, 386,061.74 and 70,389.64 is: 105,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,378.14 : 386,061.74 = 70,389.64 : x
  2. Step 2: Convert to fraction form
    257,378.14/386,061.74 = 70,389.64/x
  3. Step 3: Cross multiply
    257,378.14x = 386,061.74 × 70,389.64
  4. Step 4: Simplify right side
    257,378.14x = 27,174,746,896.37
  5. Step 5: Solve for x
    x = 27,174,746,896.37/257,378.14
  6. Step 6: Final answer
    x = 105,582.96

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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.