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Finding the Fourth Proportional to 565,830.48, 780,830.52 and 311,181.72

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Solution

The fourth proportional to 565,830.48, 780,830.52 and 311,181.72 is: 429,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,830.48 : 780,830.52 = 311,181.72 : x
  2. Step 2: Convert to fraction form
    565,830.48/780,830.52 = 311,181.72/x
  3. Step 3: Cross multiply
    565,830.48x = 780,830.52 × 311,181.72
  4. Step 4: Simplify right side
    565,830.48x = 242,980,184,242.09
  5. Step 5: Solve for x
    x = 242,980,184,242.09/565,830.48
  6. Step 6: Final answer
    x = 429,422.23

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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.