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Finding the Fourth Proportional to 259,760.32, 358,465.70 and 145,040.74

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Solution

The fourth proportional to 259,760.32, 358,465.70 and 145,040.74 is: 200,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,760.32 : 358,465.70 = 145,040.74 : x
  2. Step 2: Convert to fraction form
    259,760.32/358,465.70 = 145,040.74/x
  3. Step 3: Cross multiply
    259,760.32x = 358,465.70 × 145,040.74
  4. Step 4: Simplify right side
    259,760.32x = 51,992,130,392.62
  5. Step 5: Solve for x
    x = 51,992,130,392.62/259,760.32
  6. Step 6: Final answer
    x = 200,154.24

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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.