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Finding the Fourth Proportional to 472,185.14, 651,430.52 and 290,581.78

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Solution

The fourth proportional to 472,185.14, 651,430.52 and 290,581.78 is: 400,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,185.14 : 651,430.52 = 290,581.78 : x
  2. Step 2: Convert to fraction form
    472,185.14/651,430.52 = 290,581.78/x
  3. Step 3: Cross multiply
    472,185.14x = 651,430.52 × 290,581.78
  4. Step 4: Simplify right side
    472,185.14x = 189,293,840,047.93
  5. Step 5: Solve for x
    x = 189,293,840,047.93/472,185.14
  6. Step 6: Final answer
    x = 400,889.02

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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.