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Finding the Fourth Proportional to 559,727.84, 772,415.52 and 305,081.12

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Solution

The fourth proportional to 559,727.84, 772,415.52 and 305,081.12 is: 421,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,727.84 : 772,415.52 = 305,081.12 : x
  2. Step 2: Convert to fraction form
    559,727.84/772,415.52 = 305,081.12/x
  3. Step 3: Cross multiply
    559,727.84x = 772,415.52 × 305,081.12
  4. Step 4: Simplify right side
    559,727.84x = 235,649,391,946.98
  5. Step 5: Solve for x
    x = 235,649,391,946.98/559,727.84
  6. Step 6: Final answer
    x = 421,007.10

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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.