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Finding the Fourth Proportional to 716,648.96, 1,075,128.96 and 218,000

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Solution

The fourth proportional to 716,648.96, 1,075,128.96 and 218,000 is: 327,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,648.96 : 1,075,128.96 = 218,000 : x
  2. Step 2: Convert to fraction form
    716,648.96/1,075,128.96 = 218,000/x
  3. Step 3: Cross multiply
    716,648.96x = 1,075,128.96 × 218,000
  4. Step 4: Simplify right side
    716,648.96x = 234,378,113,280
  5. Step 5: Solve for x
    x = 234,378,113,280/716,648.96
  6. Step 6: Final answer
    x = 327,047.31

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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.