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Finding the Fourth Proportional to 471,663.75, 651,328.16 and 299,637.39

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Solution

The fourth proportional to 471,663.75, 651,328.16 and 299,637.39 is: 413,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,663.75 : 651,328.16 = 299,637.39 : x
  2. Step 2: Convert to fraction form
    471,663.75/651,328.16 = 299,637.39/x
  3. Step 3: Cross multiply
    471,663.75x = 651,328.16 × 299,637.39
  4. Step 4: Simplify right side
    471,663.75x = 195,162,268,397.72
  5. Step 5: Solve for x
    x = 195,162,268,397.72/471,663.75
  6. Step 6: Final answer
    x = 413,774.15

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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.