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Finding the Fourth Proportional to 509,271, 702,858.78 and 308,068.44

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Solution

The fourth proportional to 509,271, 702,858.78 and 308,068.44 is: 425,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,271 : 702,858.78 = 308,068.44 : x
  2. Step 2: Convert to fraction form
    509,271/702,858.78 = 308,068.44/x
  3. Step 3: Cross multiply
    509,271x = 702,858.78 × 308,068.44
  4. Step 4: Simplify right side
    509,271x = 216,528,607,894.90
  5. Step 5: Solve for x
    x = 216,528,607,894.90/509,271
  6. Step 6: Final answer
    x = 425,173.65

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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.