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Finding the Fourth Proportional to 578,636.80, 867,825.60 and 380,348.80

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Solution

The fourth proportional to 578,636.80, 867,825.60 and 380,348.80 is: 570,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,636.80 : 867,825.60 = 380,348.80 : x
  2. Step 2: Convert to fraction form
    578,636.80/867,825.60 = 380,348.80/x
  3. Step 3: Cross multiply
    578,636.80x = 867,825.60 × 380,348.80
  4. Step 4: Simplify right side
    578,636.80x = 330,076,425,569.28
  5. Step 5: Solve for x
    x = 330,076,425,569.28/578,636.80
  6. Step 6: Final answer
    x = 570,438.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.