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Finding the Fourth Proportional to 288,075.60, 431,746.20 and 161,715.60

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Solution

The fourth proportional to 288,075.60, 431,746.20 and 161,715.60 is: 242,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,075.60 : 431,746.20 = 161,715.60 : x
  2. Step 2: Convert to fraction form
    288,075.60/431,746.20 = 161,715.60/x
  3. Step 3: Cross multiply
    288,075.60x = 431,746.20 × 161,715.60
  4. Step 4: Simplify right side
    288,075.60x = 69,820,095,780.72
  5. Step 5: Solve for x
    x = 69,820,095,780.72/288,075.60
  6. Step 6: Final answer
    x = 242,367.27

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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.