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Finding the Fourth Proportional to 456,643.40, 684,950.97 and 216,929.85

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Solution

The fourth proportional to 456,643.40, 684,950.97 and 216,929.85 is: 325,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,643.40 : 684,950.97 = 216,929.85 : x
  2. Step 2: Convert to fraction form
    456,643.40/684,950.97 = 216,929.85/x
  3. Step 3: Cross multiply
    456,643.40x = 684,950.97 × 216,929.85
  4. Step 4: Simplify right side
    456,643.40x = 148,586,312,934.53
  5. Step 5: Solve for x
    x = 148,586,312,934.53/456,643.40
  6. Step 6: Final answer
    x = 325,388.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.