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Finding the Fourth Proportional to 565,509.27, 780,403.64 and 310,862.01

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Solution

The fourth proportional to 565,509.27, 780,403.64 and 310,862.01 is: 428,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,509.27 : 780,403.64 = 310,862.01 : x
  2. Step 2: Convert to fraction form
    565,509.27/780,403.64 = 310,862.01/x
  3. Step 3: Cross multiply
    565,509.27x = 780,403.64 × 310,862.01
  4. Step 4: Simplify right side
    565,509.27x = 242,597,842,587.41
  5. Step 5: Solve for x
    x = 242,597,842,587.41/565,509.27
  6. Step 6: Final answer
    x = 428,990.04

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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.