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Finding the Fourth Proportional to 565,349.28, 780,173.04 and 310,695.04

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Solution

The fourth proportional to 565,349.28, 780,173.04 and 310,695.04 is: 428,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,349.28 : 780,173.04 = 310,695.04 : x
  2. Step 2: Convert to fraction form
    565,349.28/780,173.04 = 310,695.04/x
  3. Step 3: Cross multiply
    565,349.28x = 780,173.04 × 310,695.04
  4. Step 4: Simplify right side
    565,349.28x = 242,395,893,869.72
  5. Step 5: Solve for x
    x = 242,395,893,869.72/565,349.28
  6. Step 6: Final answer
    x = 428,754.23

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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.