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Finding the Fourth Proportional to 1,174,544, 1,761,816 and 288,080

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Solution

The fourth proportional to 1,174,544, 1,761,816 and 288,080 is: 432,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174,544 : 1,761,816 = 288,080 : x
  2. Step 2: Convert to fraction form
    1,174,544/1,761,816 = 288,080/x
  3. Step 3: Cross multiply
    1,174,544x = 1,761,816 × 288,080
  4. Step 4: Simplify right side
    1,174,544x = 507,543,953,280
  5. Step 5: Solve for x
    x = 507,543,953,280/1,174,544
  6. Step 6: Final answer
    x = 432,120

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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.