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Finding the Fourth Proportional to 298,907.42, 448,624.31 and 156,854.14

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Solution

The fourth proportional to 298,907.42, 448,624.31 and 156,854.14 is: 235,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,907.42 : 448,624.31 = 156,854.14 : x
  2. Step 2: Convert to fraction form
    298,907.42/448,624.31 = 156,854.14/x
  3. Step 3: Cross multiply
    298,907.42x = 448,624.31 × 156,854.14
  4. Step 4: Simplify right side
    298,907.42x = 70,368,578,422.31
  5. Step 5: Solve for x
    x = 70,368,578,422.31/298,907.42
  6. Step 6: Final answer
    x = 235,419.31

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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.