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Finding the Fourth Proportional to 778,752, 1,168,254.36 and 305,180.64

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Solution

The fourth proportional to 778,752, 1,168,254.36 and 305,180.64 is: 457,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,752 : 1,168,254.36 = 305,180.64 : x
  2. Step 2: Convert to fraction form
    778,752/1,168,254.36 = 305,180.64/x
  3. Step 3: Cross multiply
    778,752x = 1,168,254.36 × 305,180.64
  4. Step 4: Simplify right side
    778,752x = 356,528,613,267.59
  5. Step 5: Solve for x
    x = 356,528,613,267.59/778,752
  6. Step 6: Final answer
    x = 457,820.48

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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.