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Finding the Fourth Proportional to 320,746, 442,119.54 and 252,655.16

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Solution

The fourth proportional to 320,746, 442,119.54 and 252,655.16 is: 348,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,746 : 442,119.54 = 252,655.16 : x
  2. Step 2: Convert to fraction form
    320,746/442,119.54 = 252,655.16/x
  3. Step 3: Cross multiply
    320,746x = 442,119.54 × 252,655.16
  4. Step 4: Simplify right side
    320,746x = 111,703,783,117.83
  5. Step 5: Solve for x
    x = 111,703,783,117.83/320,746
  6. Step 6: Final answer
    x = 348,262.44

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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.