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Finding the Fourth Proportional to 208,437.63, 312,656.57 and 146,385.15

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Solution

The fourth proportional to 208,437.63, 312,656.57 and 146,385.15 is: 219,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,437.63 : 312,656.57 = 146,385.15 : x
  2. Step 2: Convert to fraction form
    208,437.63/312,656.57 = 146,385.15/x
  3. Step 3: Cross multiply
    208,437.63x = 312,656.57 × 146,385.15
  4. Step 4: Simplify right side
    208,437.63x = 45,768,278,166.01
  5. Step 5: Solve for x
    x = 45,768,278,166.01/208,437.63
  6. Step 6: Final answer
    x = 219,577.81

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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.