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Finding the Fourth Proportional to 290,603.70, 401,065.54 and 175,945.50

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Solution

The fourth proportional to 290,603.70, 401,065.54 and 175,945.50 is: 242,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,603.70 : 401,065.54 = 175,945.50 : x
  2. Step 2: Convert to fraction form
    290,603.70/401,065.54 = 175,945.50/x
  3. Step 3: Cross multiply
    290,603.70x = 401,065.54 × 175,945.50
  4. Step 4: Simplify right side
    290,603.70x = 70,565,676,968.07
  5. Step 5: Solve for x
    x = 70,565,676,968.07/290,603.70
  6. Step 6: Final answer
    x = 242,824.43

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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.