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Finding the Fourth Proportional to 563,395.78, 777,492.30 and 308,741.50

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Solution

The fourth proportional to 563,395.78, 777,492.30 and 308,741.50 is: 426,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,395.78 : 777,492.30 = 308,741.50 : x
  2. Step 2: Convert to fraction form
    563,395.78/777,492.30 = 308,741.50/x
  3. Step 3: Cross multiply
    563,395.78x = 777,492.30 × 308,741.50
  4. Step 4: Simplify right side
    563,395.78x = 240,044,138,940.45
  5. Step 5: Solve for x
    x = 240,044,138,940.45/563,395.78
  6. Step 6: Final answer
    x = 426,066.63

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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.