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Finding the Fourth Proportional to 471,965.42, 651,308.91 and 257,105.43

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Solution

The fourth proportional to 471,965.42, 651,308.91 and 257,105.43 is: 354,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,965.42 : 651,308.91 = 257,105.43 : x
  2. Step 2: Convert to fraction form
    471,965.42/651,308.91 = 257,105.43/x
  3. Step 3: Cross multiply
    471,965.42x = 651,308.91 × 257,105.43
  4. Step 4: Simplify right side
    471,965.42x = 167,455,057,368.38
  5. Step 5: Solve for x
    x = 167,455,057,368.38/471,965.42
  6. Step 6: Final answer
    x = 354,803.66

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1.5x scale

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.