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Finding the Fourth Proportional to 320,670.89, 442,519.01 and 175,476.10

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Solution

The fourth proportional to 320,670.89, 442,519.01 and 175,476.10 is: 242,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,670.89 : 442,519.01 = 175,476.10 : x
  2. Step 2: Convert to fraction form
    320,670.89/442,519.01 = 175,476.10/x
  3. Step 3: Cross multiply
    320,670.89x = 442,519.01 × 175,476.10
  4. Step 4: Simplify right side
    320,670.89x = 77,651,507,838.07
  5. Step 5: Solve for x
    x = 77,651,507,838.07/320,670.89
  6. Step 6: Final answer
    x = 242,153.28

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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.