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Finding the Fourth Proportional to 475,699.50, 656,405.10 and 260,783.10

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Solution

The fourth proportional to 475,699.50, 656,405.10 and 260,783.10 is: 359,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,699.50 : 656,405.10 = 260,783.10 : x
  2. Step 2: Convert to fraction form
    475,699.50/656,405.10 = 260,783.10/x
  3. Step 3: Cross multiply
    475,699.50x = 656,405.10 × 260,783.10
  4. Step 4: Simplify right side
    475,699.50x = 171,179,356,833.81
  5. Step 5: Solve for x
    x = 171,179,356,833.81/475,699.50
  6. Step 6: Final answer
    x = 359,847.67

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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.