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Finding the Fourth Proportional to 260,306.64, 390,118.68 and 148,038.48

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Solution

The fourth proportional to 260,306.64, 390,118.68 and 148,038.48 is: 221,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,306.64 : 390,118.68 = 148,038.48 : x
  2. Step 2: Convert to fraction form
    260,306.64/390,118.68 = 148,038.48/x
  3. Step 3: Cross multiply
    260,306.64x = 390,118.68 × 148,038.48
  4. Step 4: Simplify right side
    260,306.64x = 57,752,576,406.81
  5. Step 5: Solve for x
    x = 57,752,576,406.81/260,306.64
  6. Step 6: Final answer
    x = 221,863.63

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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.