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Finding the Fourth Proportional to 320,339.84, 442,069.78 and 175,155

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Solution

The fourth proportional to 320,339.84, 442,069.78 and 175,155 is: 241,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,339.84 : 442,069.78 = 175,155 : x
  2. Step 2: Convert to fraction form
    320,339.84/442,069.78 = 175,155/x
  3. Step 3: Cross multiply
    320,339.84x = 442,069.78 × 175,155
  4. Step 4: Simplify right side
    320,339.84x = 77,430,732,315.90
  5. Step 5: Solve for x
    x = 77,430,732,315.90/320,339.84
  6. Step 6: Final answer
    x = 241,714.34

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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.