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Finding the Fourth Proportional to 320,900.67, 442,825.29 and 175,678.32

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Solution

The fourth proportional to 320,900.67, 442,825.29 and 175,678.32 is: 242,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,900.67 : 442,825.29 = 175,678.32 : x
  2. Step 2: Convert to fraction form
    320,900.67/442,825.29 = 175,678.32/x
  3. Step 3: Cross multiply
    320,900.67x = 442,825.29 × 175,678.32
  4. Step 4: Simplify right side
    320,900.67x = 77,794,803,000.71
  5. Step 5: Solve for x
    x = 77,794,803,000.71/320,900.67
  6. Step 6: Final answer
    x = 242,426.43

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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.