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Finding the Fourth Proportional to 471,477.96, 650,653.62 and 290,294.39

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Solution

The fourth proportional to 471,477.96, 650,653.62 and 290,294.39 is: 400,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,477.96 : 650,653.62 = 290,294.39 : x
  2. Step 2: Convert to fraction form
    471,477.96/650,653.62 = 290,294.39/x
  3. Step 3: Cross multiply
    471,477.96x = 650,653.62 × 290,294.39
  4. Step 4: Simplify right side
    471,477.96x = 188,881,095,719.19
  5. Step 5: Solve for x
    x = 188,881,095,719.19/471,477.96
  6. Step 6: Final answer
    x = 400,614.90

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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.