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Finding the Fourth Proportional to 716,742, 1,075,113 and 218,106

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Solution

The fourth proportional to 716,742, 1,075,113 and 218,106 is: 327,159

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,742 : 1,075,113 = 218,106 : x
  2. Step 2: Convert to fraction form
    716,742/1,075,113 = 218,106/x
  3. Step 3: Cross multiply
    716,742x = 1,075,113 × 218,106
  4. Step 4: Simplify right side
    716,742x = 234,488,595,978
  5. Step 5: Solve for x
    x = 234,488,595,978/716,742
  6. Step 6: Final answer
    x = 327,159

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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.