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Finding the Fourth Proportional to 319,315.77, 476,904.26 and 289,269.95

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Solution

The fourth proportional to 319,315.77, 476,904.26 and 289,269.95 is: 432,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,315.77 : 476,904.26 = 289,269.95 : x
  2. Step 2: Convert to fraction form
    319,315.77/476,904.26 = 289,269.95/x
  3. Step 3: Cross multiply
    319,315.77x = 476,904.26 × 289,269.95
  4. Step 4: Simplify right side
    319,315.77x = 137,954,070,839.08
  5. Step 5: Solve for x
    x = 137,954,070,839.08/319,315.77
  6. Step 6: Final answer
    x = 432,030.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.