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Finding the Fourth Proportional to 565,827.04, 780,823.44 and 311,177.44

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Solution

The fourth proportional to 565,827.04, 780,823.44 and 311,177.44 is: 429,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,827.04 : 780,823.44 = 311,177.44 : x
  2. Step 2: Convert to fraction form
    565,827.04/780,823.44 = 311,177.44/x
  3. Step 3: Cross multiply
    565,827.04x = 780,823.44 × 311,177.44
  4. Step 4: Simplify right side
    565,827.04x = 242,974,639,151.19
  5. Step 5: Solve for x
    x = 242,974,639,151.19/565,827.04
  6. Step 6: Final answer
    x = 429,415.04

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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.