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Finding the Fourth Proportional to 509,696.65, 703,302.64 and 294,856.71

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Solution

The fourth proportional to 509,696.65, 703,302.64 and 294,856.71 is: 406,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,696.65 : 703,302.64 = 294,856.71 : x
  2. Step 2: Convert to fraction form
    509,696.65/703,302.64 = 294,856.71/x
  3. Step 3: Cross multiply
    509,696.65x = 703,302.64 × 294,856.71
  4. Step 4: Simplify right side
    509,696.65x = 207,373,502,564.71
  5. Step 5: Solve for x
    x = 207,373,502,564.71/509,696.65
  6. Step 6: Final answer
    x = 406,856.71

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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.