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Finding the Fourth Proportional to 780,283, 1,076,790.54 and 422,587

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Solution

The fourth proportional to 780,283, 1,076,790.54 and 422,587 is: 583,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,283 : 1,076,790.54 = 422,587 : x
  2. Step 2: Convert to fraction form
    780,283/1,076,790.54 = 422,587/x
  3. Step 3: Cross multiply
    780,283x = 1,076,790.54 × 422,587
  4. Step 4: Simplify right side
    780,283x = 455,037,683,926.98
  5. Step 5: Solve for x
    x = 455,037,683,926.98/780,283
  6. Step 6: Final answer
    x = 583,170.06

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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.