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Finding the Fourth Proportional to 408,157.20, 612,075.60 and 155,303.40

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Solution

The fourth proportional to 408,157.20, 612,075.60 and 155,303.40 is: 232,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,157.20 : 612,075.60 = 155,303.40 : x
  2. Step 2: Convert to fraction form
    408,157.20/612,075.60 = 155,303.40/x
  3. Step 3: Cross multiply
    408,157.20x = 612,075.60 × 155,303.40
  4. Step 4: Simplify right side
    408,157.20x = 95,057,421,737.04
  5. Step 5: Solve for x
    x = 95,057,421,737.04/408,157.20
  6. Step 6: Final answer
    x = 232,894.14

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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.