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Finding the Fourth Proportional to 509,718.83, 703,329.19 and 283,358.51

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Solution

The fourth proportional to 509,718.83, 703,329.19 and 283,358.51 is: 390,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,718.83 : 703,329.19 = 283,358.51 : x
  2. Step 2: Convert to fraction form
    509,718.83/703,329.19 = 283,358.51/x
  3. Step 3: Cross multiply
    509,718.83x = 703,329.19 × 283,358.51
  4. Step 4: Simplify right side
    509,718.83x = 199,294,311,317.91
  5. Step 5: Solve for x
    x = 199,294,311,317.91/509,718.83
  6. Step 6: Final answer
    x = 390,988.72

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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.