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Finding the Fourth Proportional to 565,803.17, 780,792.80 and 311,154.36

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Solution

The fourth proportional to 565,803.17, 780,792.80 and 311,154.36 is: 429,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,803.17 : 780,792.80 = 311,154.36 : x
  2. Step 2: Convert to fraction form
    565,803.17/780,792.80 = 311,154.36/x
  3. Step 3: Cross multiply
    565,803.17x = 780,792.80 × 311,154.36
  4. Step 4: Simplify right side
    565,803.17x = 242,947,082,420.84
  5. Step 5: Solve for x
    x = 242,947,082,420.84/565,803.17
  6. Step 6: Final answer
    x = 429,384.45

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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.