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Finding the Fourth Proportional to 309,911.86, 427,681.54 and 173,943.08

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Solution

The fourth proportional to 309,911.86, 427,681.54 and 173,943.08 is: 240,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,911.86 : 427,681.54 = 173,943.08 : x
  2. Step 2: Convert to fraction form
    309,911.86/427,681.54 = 173,943.08/x
  3. Step 3: Cross multiply
    309,911.86x = 427,681.54 × 173,943.08
  4. Step 4: Simplify right side
    309,911.86x = 74,392,243,457.03
  5. Step 5: Solve for x
    x = 74,392,243,457.03/309,911.86
  6. Step 6: Final answer
    x = 240,043.23

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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.