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Finding the Fourth Proportional to 877,401, 1,210,815 and 474,993

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Solution

The fourth proportional to 877,401, 1,210,815 and 474,993 is: 655,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,401 : 1,210,815 = 474,993 : x
  2. Step 2: Convert to fraction form
    877,401/1,210,815 = 474,993/x
  3. Step 3: Cross multiply
    877,401x = 1,210,815 × 474,993
  4. Step 4: Simplify right side
    877,401x = 575,128,649,295
  5. Step 5: Solve for x
    x = 575,128,649,295/877,401
  6. Step 6: Final answer
    x = 655,491.22

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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.