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Finding the Fourth Proportional to 340,039.40, 510,059.10 and 302,714.60

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Solution

The fourth proportional to 340,039.40, 510,059.10 and 302,714.60 is: 454,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,039.40 : 510,059.10 = 302,714.60 : x
  2. Step 2: Convert to fraction form
    340,039.40/510,059.10 = 302,714.60/x
  3. Step 3: Cross multiply
    340,039.40x = 510,059.10 × 302,714.60
  4. Step 4: Simplify right side
    340,039.40x = 154,402,336,432.86
  5. Step 5: Solve for x
    x = 154,402,336,432.86/340,039.40
  6. Step 6: Final answer
    x = 454,071.90

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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.