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Finding the Fourth Proportional to 389,435.70, 584,153.55 and 365,816.10

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Solution

The fourth proportional to 389,435.70, 584,153.55 and 365,816.10 is: 548,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,435.70 : 584,153.55 = 365,816.10 : x
  2. Step 2: Convert to fraction form
    389,435.70/584,153.55 = 365,816.10/x
  3. Step 3: Cross multiply
    389,435.70x = 584,153.55 × 365,816.10
  4. Step 4: Simplify right side
    389,435.70x = 213,692,773,462.16
  5. Step 5: Solve for x
    x = 213,692,773,462.16/389,435.70
  6. Step 6: Final answer
    x = 548,724.15

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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.