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Finding the Fourth Proportional to 301,370.04, 415,903.68 and 180,531

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Solution

The fourth proportional to 301,370.04, 415,903.68 and 180,531 is: 249,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,370.04 : 415,903.68 = 180,531 : x
  2. Step 2: Convert to fraction form
    301,370.04/415,903.68 = 180,531/x
  3. Step 3: Cross multiply
    301,370.04x = 415,903.68 × 180,531
  4. Step 4: Simplify right side
    301,370.04x = 75,083,507,254.08
  5. Step 5: Solve for x
    x = 75,083,507,254.08/301,370.04
  6. Step 6: Final answer
    x = 249,140.58

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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.