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Finding the Fourth Proportional to 565,671.84, 780,630.03 and 311,039.40

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Solution

The fourth proportional to 565,671.84, 780,630.03 and 311,039.40 is: 429,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,671.84 : 780,630.03 = 311,039.40 : x
  2. Step 2: Convert to fraction form
    565,671.84/780,630.03 = 311,039.40/x
  3. Step 3: Cross multiply
    565,671.84x = 780,630.03 × 311,039.40
  4. Step 4: Simplify right side
    565,671.84x = 242,806,696,153.18
  5. Step 5: Solve for x
    x = 242,806,696,153.18/565,671.84
  6. Step 6: Final answer
    x = 429,235.96

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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.