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Finding the Fourth Proportional to 388,993.10, 583,507.89 and 189,075.18

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Solution

The fourth proportional to 388,993.10, 583,507.89 and 189,075.18 is: 283,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,993.10 : 583,507.89 = 189,075.18 : x
  2. Step 2: Convert to fraction form
    388,993.10/583,507.89 = 189,075.18/x
  3. Step 3: Cross multiply
    388,993.10x = 583,507.89 × 189,075.18
  4. Step 4: Simplify right side
    388,993.10x = 110,326,859,333.17
  5. Step 5: Solve for x
    x = 110,326,859,333.17/388,993.10
  6. Step 6: Final answer
    x = 283,621.64

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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.