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Finding the Fourth Proportional to 1,174,176, 1,761,264 and 287,712

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Solution

The fourth proportional to 1,174,176, 1,761,264 and 287,712 is: 431,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174,176 : 1,761,264 = 287,712 : x
  2. Step 2: Convert to fraction form
    1,174,176/1,761,264 = 287,712/x
  3. Step 3: Cross multiply
    1,174,176x = 1,761,264 × 287,712
  4. Step 4: Simplify right side
    1,174,176x = 506,736,787,968
  5. Step 5: Solve for x
    x = 506,736,787,968/1,174,176
  6. Step 6: Final answer
    x = 431,568

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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.