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Finding the Fourth Proportional to 509,717.83, 703,327.81 and 283,357.51

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Solution

The fourth proportional to 509,717.83, 703,327.81 and 283,357.51 is: 390,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,717.83 : 703,327.81 = 283,357.51 : x
  2. Step 2: Convert to fraction form
    509,717.83/703,327.81 = 283,357.51/x
  3. Step 3: Cross multiply
    509,717.83x = 703,327.81 × 283,357.51
  4. Step 4: Simplify right side
    509,717.83x = 199,293,216,955.35
  5. Step 5: Solve for x
    x = 199,293,216,955.35/509,717.83
  6. Step 6: Final answer
    x = 390,987.34

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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.