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Finding the Fourth Proportional to 780,396, 1,076,946.48 and 422,700

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Solution

The fourth proportional to 780,396, 1,076,946.48 and 422,700 is: 583,326

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,396 : 1,076,946.48 = 422,700 : x
  2. Step 2: Convert to fraction form
    780,396/1,076,946.48 = 422,700/x
  3. Step 3: Cross multiply
    780,396x = 1,076,946.48 × 422,700
  4. Step 4: Simplify right side
    780,396x = 455,225,277,096
  5. Step 5: Solve for x
    x = 455,225,277,096/780,396
  6. Step 6: Final answer
    x = 583,326

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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.