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Finding the Fourth Proportional to 509,468.70, 703,106.01 and 305,527.32

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Solution

The fourth proportional to 509,468.70, 703,106.01 and 305,527.32 is: 421,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,468.70 : 703,106.01 = 305,527.32 : x
  2. Step 2: Convert to fraction form
    509,468.70/703,106.01 = 305,527.32/x
  3. Step 3: Cross multiply
    509,468.70x = 703,106.01 × 305,527.32
  4. Step 4: Simplify right side
    509,468.70x = 214,818,094,911.19
  5. Step 5: Solve for x
    x = 214,818,094,911.19/509,468.70
  6. Step 6: Final answer
    x = 421,651.21

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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.