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Finding the Fourth Proportional to 539,411.32, 744,362.40 and 309,807.10

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Solution

The fourth proportional to 539,411.32, 744,362.40 and 309,807.10 is: 427,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,411.32 : 744,362.40 = 309,807.10 : x
  2. Step 2: Convert to fraction form
    539,411.32/744,362.40 = 309,807.10/x
  3. Step 3: Cross multiply
    539,411.32x = 744,362.40 × 309,807.10
  4. Step 4: Simplify right side
    539,411.32x = 230,608,756,493.04
  5. Step 5: Solve for x
    x = 230,608,756,493.04/539,411.32
  6. Step 6: Final answer
    x = 427,519.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.