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Finding the Fourth Proportional to 516,938.46, 775,408.14 and 161,980.16

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Solution

The fourth proportional to 516,938.46, 775,408.14 and 161,980.16 is: 242,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,938.46 : 775,408.14 = 161,980.16 : x
  2. Step 2: Convert to fraction form
    516,938.46/775,408.14 = 161,980.16/x
  3. Step 3: Cross multiply
    516,938.46x = 775,408.14 × 161,980.16
  4. Step 4: Simplify right side
    516,938.46x = 125,600,730,705.46
  5. Step 5: Solve for x
    x = 125,600,730,705.46/516,938.46
  6. Step 6: Final answer
    x = 242,970.38

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1.5x scale

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.