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Finding the Fourth Proportional to 291,216.84, 401,767.56 and 180,783.69

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Solution

The fourth proportional to 291,216.84, 401,767.56 and 180,783.69 is: 249,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,216.84 : 401,767.56 = 180,783.69 : x
  2. Step 2: Convert to fraction form
    291,216.84/401,767.56 = 180,783.69/x
  3. Step 3: Cross multiply
    291,216.84x = 401,767.56 × 180,783.69
  4. Step 4: Simplify right side
    291,216.84x = 72,633,022,019.10
  5. Step 5: Solve for x
    x = 72,633,022,019.10/291,216.84
  6. Step 6: Final answer
    x = 249,412.16

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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.