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Finding the Fourth Proportional to 456,232.20, 683,570.70 and 389,358.60

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Solution

The fourth proportional to 456,232.20, 683,570.70 and 389,358.60 is: 583,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,232.20 : 683,570.70 = 389,358.60 : x
  2. Step 2: Convert to fraction form
    456,232.20/683,570.70 = 389,358.60/x
  3. Step 3: Cross multiply
    456,232.20x = 683,570.70 × 389,358.60
  4. Step 4: Simplify right side
    456,232.20x = 266,154,130,753.02
  5. Step 5: Solve for x
    x = 266,154,130,753.02/456,232.20
  6. Step 6: Final answer
    x = 583,374.28

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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.