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Finding the Fourth Proportional to 291,980.34, 437,970.51 and 114,570.90

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Solution

The fourth proportional to 291,980.34, 437,970.51 and 114,570.90 is: 171,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,980.34 : 437,970.51 = 114,570.90 : x
  2. Step 2: Convert to fraction form
    291,980.34/437,970.51 = 114,570.90/x
  3. Step 3: Cross multiply
    291,980.34x = 437,970.51 × 114,570.90
  4. Step 4: Simplify right side
    291,980.34x = 50,178,675,504.16
  5. Step 5: Solve for x
    x = 50,178,675,504.16/291,980.34
  6. Step 6: Final answer
    x = 171,856.35

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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.