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Finding the Fourth Proportional to 559,783.46, 772,501.23 and 305,134.64

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Solution

The fourth proportional to 559,783.46, 772,501.23 and 305,134.64 is: 421,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,783.46 : 772,501.23 = 305,134.64 : x
  2. Step 2: Convert to fraction form
    559,783.46/772,501.23 = 305,134.64/x
  3. Step 3: Cross multiply
    559,783.46x = 772,501.23 × 305,134.64
  4. Step 4: Simplify right side
    559,783.46x = 235,716,883,189.93
  5. Step 5: Solve for x
    x = 235,716,883,189.93/559,783.46
  6. Step 6: Final answer
    x = 421,085.83

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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.