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Finding the Fourth Proportional to 565,536, 780,047.28 and 384,146.40

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Solution

The fourth proportional to 565,536, 780,047.28 and 384,146.40 is: 529,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,536 : 780,047.28 = 384,146.40 : x
  2. Step 2: Convert to fraction form
    565,536/780,047.28 = 384,146.40/x
  3. Step 3: Cross multiply
    565,536x = 780,047.28 × 384,146.40
  4. Step 4: Simplify right side
    565,536x = 299,652,354,441.79
  5. Step 5: Solve for x
    x = 299,652,354,441.79/565,536
  6. Step 6: Final answer
    x = 529,855.49

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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.