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Finding the Fourth Proportional to 565,782.77, 780,801.05 and 311,157.65

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Solution

The fourth proportional to 565,782.77, 780,801.05 and 311,157.65 is: 429,409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,782.77 : 780,801.05 = 311,157.65 : x
  2. Step 2: Convert to fraction form
    565,782.77/780,801.05 = 311,157.65/x
  3. Step 3: Cross multiply
    565,782.77x = 780,801.05 × 311,157.65
  4. Step 4: Simplify right side
    565,782.77x = 242,952,219,835.53
  5. Step 5: Solve for x
    x = 242,952,219,835.53/565,782.77
  6. Step 6: Final answer
    x = 429,409.01

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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.