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Finding the Fourth Proportional to 556,828.40, 768,423.16 and 302,179.58

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Solution

The fourth proportional to 556,828.40, 768,423.16 and 302,179.58 is: 417,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,828.40 : 768,423.16 = 302,179.58 : x
  2. Step 2: Convert to fraction form
    556,828.40/768,423.16 = 302,179.58/x
  3. Step 3: Cross multiply
    556,828.40x = 768,423.16 × 302,179.58
  4. Step 4: Simplify right side
    556,828.40x = 232,201,787,751.07
  5. Step 5: Solve for x
    x = 232,201,787,751.07/556,828.40
  6. Step 6: Final answer
    x = 417,007.80

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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.