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Finding the Fourth Proportional to 309,547.88, 427,267.32 and 202,134.68

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Solution

The fourth proportional to 309,547.88, 427,267.32 and 202,134.68 is: 279,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,547.88 : 427,267.32 = 202,134.68 : x
  2. Step 2: Convert to fraction form
    309,547.88/427,267.32 = 202,134.68/x
  3. Step 3: Cross multiply
    309,547.88x = 427,267.32 × 202,134.68
  4. Step 4: Simplify right side
    309,547.88x = 86,365,543,002.66
  5. Step 5: Solve for x
    x = 86,365,543,002.66/309,547.88
  6. Step 6: Final answer
    x = 279,005.44

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1.5x scale

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.