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Finding the Fourth Proportional to 306,595.94, 459,987.21 and 156,941.28

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Solution

The fourth proportional to 306,595.94, 459,987.21 and 156,941.28 is: 235,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,595.94 : 459,987.21 = 156,941.28 : x
  2. Step 2: Convert to fraction form
    306,595.94/459,987.21 = 156,941.28/x
  3. Step 3: Cross multiply
    306,595.94x = 459,987.21 × 156,941.28
  4. Step 4: Simplify right side
    306,595.94x = 72,190,981,521.03
  5. Step 5: Solve for x
    x = 72,190,981,521.03/306,595.94
  6. Step 6: Final answer
    x = 235,459.68

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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.