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Finding the Fourth Proportional to 565,512.77, 780,408.47 and 310,865.51

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Solution

The fourth proportional to 565,512.77, 780,408.47 and 310,865.51 is: 428,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,512.77 : 780,408.47 = 310,865.51 : x
  2. Step 2: Convert to fraction form
    565,512.77/780,408.47 = 310,865.51/x
  3. Step 3: Cross multiply
    565,512.77x = 780,408.47 × 310,865.51
  4. Step 4: Simplify right side
    565,512.77x = 242,602,077,034.87
  5. Step 5: Solve for x
    x = 242,602,077,034.87/565,512.77
  6. Step 6: Final answer
    x = 428,994.87

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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.