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Finding the Fourth Proportional to 565,453.71, 780,305.40 and 310,802.67

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Solution

The fourth proportional to 565,453.71, 780,305.40 and 310,802.67 is: 428,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,453.71 : 780,305.40 = 310,802.67 : x
  2. Step 2: Convert to fraction form
    565,453.71/780,305.40 = 310,802.67/x
  3. Step 3: Cross multiply
    565,453.71x = 780,305.40 × 310,802.67
  4. Step 4: Simplify right side
    565,453.71x = 242,521,001,735.42
  5. Step 5: Solve for x
    x = 242,521,001,735.42/565,453.71
  6. Step 6: Final answer
    x = 428,896.30

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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.