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Finding the Fourth Proportional to 260,142.88, 358,989.84 and 152,711.20

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Solution

The fourth proportional to 260,142.88, 358,989.84 and 152,711.20 is: 210,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,142.88 : 358,989.84 = 152,711.20 : x
  2. Step 2: Convert to fraction form
    260,142.88/358,989.84 = 152,711.20/x
  3. Step 3: Cross multiply
    260,142.88x = 358,989.84 × 152,711.20
  4. Step 4: Simplify right side
    260,142.88x = 54,821,769,254.21
  5. Step 5: Solve for x
    x = 54,821,769,254.21/260,142.88
  6. Step 6: Final answer
    x = 210,737.15

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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.