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Finding the Fourth Proportional to 471,130.40, 650,224.32 and 320,276

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Solution

The fourth proportional to 471,130.40, 650,224.32 and 320,276 is: 442,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,130.40 : 650,224.32 = 320,276 : x
  2. Step 2: Convert to fraction form
    471,130.40/650,224.32 = 320,276/x
  3. Step 3: Cross multiply
    471,130.40x = 650,224.32 × 320,276
  4. Step 4: Simplify right side
    471,130.40x = 208,251,244,312.32
  5. Step 5: Solve for x
    x = 208,251,244,312.32/471,130.40
  6. Step 6: Final answer
    x = 442,024.64

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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.