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Finding the Fourth Proportional to 559,783.80, 772,499.70 and 305,135.01

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Solution

The fourth proportional to 559,783.80, 772,499.70 and 305,135.01 is: 421,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,783.80 : 772,499.70 = 305,135.01 : x
  2. Step 2: Convert to fraction form
    559,783.80/772,499.70 = 305,135.01/x
  3. Step 3: Cross multiply
    559,783.80x = 772,499.70 × 305,135.01
  4. Step 4: Simplify right side
    559,783.80x = 235,716,703,684.50
  5. Step 5: Solve for x
    x = 235,716,703,684.50/559,783.80
  6. Step 6: Final answer
    x = 421,085.25

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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.