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Finding the Fourth Proportional to 646,675.42, 969,590.62 and 309,705.10

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Solution

The fourth proportional to 646,675.42, 969,590.62 and 309,705.10 is: 464,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,675.42 : 969,590.62 = 309,705.10 : x
  2. Step 2: Convert to fraction form
    646,675.42/969,590.62 = 309,705.10/x
  3. Step 3: Cross multiply
    646,675.42x = 969,590.62 × 309,705.10
  4. Step 4: Simplify right side
    646,675.42x = 300,287,159,926.16
  5. Step 5: Solve for x
    x = 300,287,159,926.16/646,675.42
  6. Step 6: Final answer
    x = 464,355.30

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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.