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Finding the Fourth Proportional to 511,856, 706,587.78 and 330,656.28

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Solution

The fourth proportional to 511,856, 706,587.78 and 330,656.28 is: 456,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,856 : 706,587.78 = 330,656.28 : x
  2. Step 2: Convert to fraction form
    511,856/706,587.78 = 330,656.28/x
  3. Step 3: Cross multiply
    511,856x = 706,587.78 × 330,656.28
  4. Step 4: Simplify right side
    511,856x = 233,637,686,828.26
  5. Step 5: Solve for x
    x = 233,637,686,828.26/511,856
  6. Step 6: Final answer
    x = 456,451.98

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1.5x scale

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.