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Finding the Fourth Proportional to 509,056.83, 702,479.17 and 282,716.91

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Solution

The fourth proportional to 509,056.83, 702,479.17 and 282,716.91 is: 390,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,056.83 : 702,479.17 = 282,716.91 : x
  2. Step 2: Convert to fraction form
    509,056.83/702,479.17 = 282,716.91/x
  3. Step 3: Cross multiply
    509,056.83x = 702,479.17 × 282,716.91
  4. Step 4: Simplify right side
    509,056.83x = 198,602,736,769.37
  5. Step 5: Solve for x
    x = 198,602,736,769.37/509,056.83
  6. Step 6: Final answer
    x = 390,138.64

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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.