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Finding the Fourth Proportional to 260,038.20, 390,186.90 and 147,804.60

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Solution

The fourth proportional to 260,038.20, 390,186.90 and 147,804.60 is: 221,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038.20 : 390,186.90 = 147,804.60 : x
  2. Step 2: Convert to fraction form
    260,038.20/390,186.90 = 147,804.60/x
  3. Step 3: Cross multiply
    260,038.20x = 390,186.90 × 147,804.60
  4. Step 4: Simplify right side
    260,038.20x = 57,671,418,679.74
  5. Step 5: Solve for x
    x = 57,671,418,679.74/260,038.20
  6. Step 6: Final answer
    x = 221,780.56

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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.