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Finding the Fourth Proportional to 572,178.36, 789,423.66 and 330,429

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Solution

The fourth proportional to 572,178.36, 789,423.66 and 330,429 is: 455,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,178.36 : 789,423.66 = 330,429 : x
  2. Step 2: Convert to fraction form
    572,178.36/789,423.66 = 330,429/x
  3. Step 3: Cross multiply
    572,178.36x = 789,423.66 × 330,429
  4. Step 4: Simplify right side
    572,178.36x = 260,848,470,550.14
  5. Step 5: Solve for x
    x = 260,848,470,550.14/572,178.36
  6. Step 6: Final answer
    x = 455,886.64

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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.