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Finding the Fourth Proportional to 520,075.02, 780,209.01 and 164,993.10

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Solution

The fourth proportional to 520,075.02, 780,209.01 and 164,993.10 is: 247,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,075.02 : 780,209.01 = 164,993.10 : x
  2. Step 2: Convert to fraction form
    520,075.02/780,209.01 = 164,993.10/x
  3. Step 3: Cross multiply
    520,075.02x = 780,209.01 × 164,993.10
  4. Step 4: Simplify right side
    520,075.02x = 128,729,103,207.83
  5. Step 5: Solve for x
    x = 128,729,103,207.83/520,075.02
  6. Step 6: Final answer
    x = 247,520.26

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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.