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Finding the Fourth Proportional to 665,852.16, 918,879.84 and 364,046.16

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Solution

The fourth proportional to 665,852.16, 918,879.84 and 364,046.16 is: 502,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,852.16 : 918,879.84 = 364,046.16 : x
  2. Step 2: Convert to fraction form
    665,852.16/918,879.84 = 364,046.16/x
  3. Step 3: Cross multiply
    665,852.16x = 918,879.84 × 364,046.16
  4. Step 4: Simplify right side
    665,852.16x = 334,514,677,253.41
  5. Step 5: Solve for x
    x = 334,514,677,253.41/665,852.16
  6. Step 6: Final answer
    x = 502,385.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.