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Finding the Fourth Proportional to 317,178, 437,585.52 and 202,461.12

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Solution

The fourth proportional to 317,178, 437,585.52 and 202,461.12 is: 279,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,178 : 437,585.52 = 202,461.12 : x
  2. Step 2: Convert to fraction form
    317,178/437,585.52 = 202,461.12/x
  3. Step 3: Cross multiply
    317,178x = 437,585.52 × 202,461.12
  4. Step 4: Simplify right side
    317,178x = 88,594,054,474.98
  5. Step 5: Solve for x
    x = 88,594,054,474.98/317,178
  6. Step 6: Final answer
    x = 279,319.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.