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Finding the Fourth Proportional to 476,271.78, 714,407.64 and 143,847.78

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Solution

The fourth proportional to 476,271.78, 714,407.64 and 143,847.78 is: 215,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,271.78 : 714,407.64 = 143,847.78 : x
  2. Step 2: Convert to fraction form
    476,271.78/714,407.64 = 143,847.78/x
  3. Step 3: Cross multiply
    476,271.78x = 714,407.64 × 143,847.78
  4. Step 4: Simplify right side
    476,271.78x = 102,765,953,029.04
  5. Step 5: Solve for x
    x = 102,765,953,029.04/476,271.78
  6. Step 6: Final answer
    x = 215,771.66

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1.5x scale

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.