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Finding the Fourth Proportional to 565,513.02, 780,408.81 and 310,865.76

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Solution

The fourth proportional to 565,513.02, 780,408.81 and 310,865.76 is: 428,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,513.02 : 780,408.81 = 310,865.76 : x
  2. Step 2: Convert to fraction form
    565,513.02/780,408.81 = 310,865.76/x
  3. Step 3: Cross multiply
    565,513.02x = 780,408.81 × 310,865.76
  4. Step 4: Simplify right side
    565,513.02x = 242,602,377,831.35
  5. Step 5: Solve for x
    x = 242,602,377,831.35/565,513.02
  6. Step 6: Final answer
    x = 428,995.21

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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.