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Finding the Fourth Proportional to 305,025.35, 420,838.74 and 175,946.47

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Solution

The fourth proportional to 305,025.35, 420,838.74 and 175,946.47 is: 242,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,025.35 : 420,838.74 = 175,946.47 : x
  2. Step 2: Convert to fraction form
    305,025.35/420,838.74 = 175,946.47/x
  3. Step 3: Cross multiply
    305,025.35x = 420,838.74 × 175,946.47
  4. Step 4: Simplify right side
    305,025.35x = 74,045,089,690.15
  5. Step 5: Solve for x
    x = 74,045,089,690.15/305,025.35
  6. Step 6: Final answer
    x = 242,750.61

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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.