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Finding the Fourth Proportional to 565,384.06, 780,232.53 and 310,751.65

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Solution

The fourth proportional to 565,384.06, 780,232.53 and 310,751.65 is: 428,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,384.06 : 780,232.53 = 310,751.65 : x
  2. Step 2: Convert to fraction form
    565,384.06/780,232.53 = 310,751.65/x
  3. Step 3: Cross multiply
    565,384.06x = 780,232.53 × 310,751.65
  4. Step 4: Simplify right side
    565,384.06x = 242,458,546,081.18
  5. Step 5: Solve for x
    x = 242,458,546,081.18/565,384.06
  6. Step 6: Final answer
    x = 428,838.67

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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.