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Finding the Fourth Proportional to 608,427.60, 913,199.40 and 309,116.40

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Solution

The fourth proportional to 608,427.60, 913,199.40 and 309,116.40 is: 463,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,427.60 : 913,199.40 = 309,116.40 : x
  2. Step 2: Convert to fraction form
    608,427.60/913,199.40 = 309,116.40/x
  3. Step 3: Cross multiply
    608,427.60x = 913,199.40 × 309,116.40
  4. Step 4: Simplify right side
    608,427.60x = 282,284,911,010.16
  5. Step 5: Solve for x
    x = 282,284,911,010.16/608,427.60
  6. Step 6: Final answer
    x = 463,958.10

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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.