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Finding the Fourth Proportional to 565,884.48, 780,916.50 and 311,230.20

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Solution

The fourth proportional to 565,884.48, 780,916.50 and 311,230.20 is: 429,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,884.48 : 780,916.50 = 311,230.20 : x
  2. Step 2: Convert to fraction form
    565,884.48/780,916.50 = 311,230.20/x
  3. Step 3: Cross multiply
    565,884.48x = 780,916.50 × 311,230.20
  4. Step 4: Simplify right side
    565,884.48x = 243,044,798,478.30
  5. Step 5: Solve for x
    x = 243,044,798,478.30/565,884.48
  6. Step 6: Final answer
    x = 429,495.43

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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.