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Finding the Fourth Proportional to 780,185, 1,076,655.30 and 422,489

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Solution

The fourth proportional to 780,185, 1,076,655.30 and 422,489 is: 583,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,185 : 1,076,655.30 = 422,489 : x
  2. Step 2: Convert to fraction form
    780,185/1,076,655.30 = 422,489/x
  3. Step 3: Cross multiply
    780,185x = 1,076,655.30 × 422,489
  4. Step 4: Simplify right side
    780,185x = 454,875,021,041.70
  5. Step 5: Solve for x
    x = 454,875,021,041.70/780,185
  6. Step 6: Final answer
    x = 583,034.82

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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.