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Finding the Fourth Proportional to 340,070.10, 510,105.15 and 309,743.70

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Solution

The fourth proportional to 340,070.10, 510,105.15 and 309,743.70 is: 464,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,070.10 : 510,105.15 = 309,743.70 : x
  2. Step 2: Convert to fraction form
    340,070.10/510,105.15 = 309,743.70/x
  3. Step 3: Cross multiply
    340,070.10x = 510,105.15 × 309,743.70
  4. Step 4: Simplify right side
    340,070.10x = 158,001,856,550.06
  5. Step 5: Solve for x
    x = 158,001,856,550.06/340,070.10
  6. Step 6: Final answer
    x = 464,615.55

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1.5x scale

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.