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Finding the Fourth Proportional to 315,171, 434,972.40 and 175,483.65

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Solution

The fourth proportional to 315,171, 434,972.40 and 175,483.65 is: 242,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,171 : 434,972.40 = 175,483.65 : x
  2. Step 2: Convert to fraction form
    315,171/434,972.40 = 175,483.65/x
  3. Step 3: Cross multiply
    315,171x = 434,972.40 × 175,483.65
  4. Step 4: Simplify right side
    315,171x = 76,330,544,401.26
  5. Step 5: Solve for x
    x = 76,330,544,401.26/315,171
  6. Step 6: Final answer
    x = 242,187.72

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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.