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Finding the Fourth Proportional to 513,756.80, 770,636.32 and 277,210.88

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Solution

The fourth proportional to 513,756.80, 770,636.32 and 277,210.88 is: 415,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,756.80 : 770,636.32 = 277,210.88 : x
  2. Step 2: Convert to fraction form
    513,756.80/770,636.32 = 277,210.88/x
  3. Step 3: Cross multiply
    513,756.80x = 770,636.32 × 277,210.88
  4. Step 4: Simplify right side
    513,756.80x = 213,628,772,427.16
  5. Step 5: Solve for x
    x = 213,628,772,427.16/513,756.80
  6. Step 6: Final answer
    x = 415,816.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.