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Finding the Fourth Proportional to 320,937.66, 442,897.47 and 177,700.32

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Solution

The fourth proportional to 320,937.66, 442,897.47 and 177,700.32 is: 245,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,937.66 : 442,897.47 = 177,700.32 : x
  2. Step 2: Convert to fraction form
    320,937.66/442,897.47 = 177,700.32/x
  3. Step 3: Cross multiply
    320,937.66x = 442,897.47 × 177,700.32
  4. Step 4: Simplify right side
    320,937.66x = 78,703,022,146.19
  5. Step 5: Solve for x
    x = 78,703,022,146.19/320,937.66
  6. Step 6: Final answer
    x = 245,228.38

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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.