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Finding the Fourth Proportional to 578,454, 798,222.78 and 320,329.68

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Solution

The fourth proportional to 578,454, 798,222.78 and 320,329.68 is: 442,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,454 : 798,222.78 = 320,329.68 : x
  2. Step 2: Convert to fraction form
    578,454/798,222.78 = 320,329.68/x
  3. Step 3: Cross multiply
    578,454x = 798,222.78 × 320,329.68
  4. Step 4: Simplify right side
    578,454x = 255,694,447,686.11
  5. Step 5: Solve for x
    x = 255,694,447,686.11/578,454
  6. Step 6: Final answer
    x = 442,030.74

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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.