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Finding the Fourth Proportional to 260,572.68, 390,916.40 and 148,305.74

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Solution

The fourth proportional to 260,572.68, 390,916.40 and 148,305.74 is: 222,491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,572.68 : 390,916.40 = 148,305.74 : x
  2. Step 2: Convert to fraction form
    260,572.68/390,916.40 = 148,305.74/x
  3. Step 3: Cross multiply
    260,572.68x = 390,916.40 × 148,305.74
  4. Step 4: Simplify right side
    260,572.68x = 57,975,143,284.03
  5. Step 5: Solve for x
    x = 57,975,143,284.03/260,572.68
  6. Step 6: Final answer
    x = 222,491.26

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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.