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Finding the Fourth Proportional to 358,880.32, 537,918.24 and 145,598.72

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Solution

The fourth proportional to 358,880.32, 537,918.24 and 145,598.72 is: 218,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,880.32 : 537,918.24 = 145,598.72 : x
  2. Step 2: Convert to fraction form
    358,880.32/537,918.24 = 145,598.72/x
  3. Step 3: Cross multiply
    358,880.32x = 537,918.24 × 145,598.72
  4. Step 4: Simplify right side
    358,880.32x = 78,320,207,208.65
  5. Step 5: Solve for x
    x = 78,320,207,208.65/358,880.32
  6. Step 6: Final answer
    x = 218,234.89

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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.