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Finding the Fourth Proportional to 320,868.64, 442,803.99 and 175,672

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Solution

The fourth proportional to 320,868.64, 442,803.99 and 175,672 is: 242,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,868.64 : 442,803.99 = 175,672 : x
  2. Step 2: Convert to fraction form
    320,868.64/442,803.99 = 175,672/x
  3. Step 3: Cross multiply
    320,868.64x = 442,803.99 × 175,672
  4. Step 4: Simplify right side
    320,868.64x = 77,788,262,531.28
  5. Step 5: Solve for x
    x = 77,788,262,531.28/320,868.64
  6. Step 6: Final answer
    x = 242,430.24

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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.