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Finding the Fourth Proportional to 291,988.26, 438,055.29 and 81,624.51

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Solution

The fourth proportional to 291,988.26, 438,055.29 and 81,624.51 is: 122,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,988.26 : 438,055.29 = 81,624.51 : x
  2. Step 2: Convert to fraction form
    291,988.26/438,055.29 = 81,624.51/x
  3. Step 3: Cross multiply
    291,988.26x = 438,055.29 × 81,624.51
  4. Step 4: Simplify right side
    291,988.26x = 35,756,048,399.16
  5. Step 5: Solve for x
    x = 35,756,048,399.16/291,988.26
  6. Step 6: Final answer
    x = 122,457.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.