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Finding the Fourth Proportional to 259,689, 358,380.14 and 150,785.20

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Solution

The fourth proportional to 259,689, 358,380.14 and 150,785.20 is: 208,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,689 : 358,380.14 = 150,785.20 : x
  2. Step 2: Convert to fraction form
    259,689/358,380.14 = 150,785.20/x
  3. Step 3: Cross multiply
    259,689x = 358,380.14 × 150,785.20
  4. Step 4: Simplify right side
    259,689x = 54,038,421,085.93
  5. Step 5: Solve for x
    x = 54,038,421,085.93/259,689
  6. Step 6: Final answer
    x = 208,088.99

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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.