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Finding the Fourth Proportional to 556,815.02, 768,405.23 and 302,166.21

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Solution

The fourth proportional to 556,815.02, 768,405.23 and 302,166.21 is: 416,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,815.02 : 768,405.23 = 302,166.21 : x
  2. Step 2: Convert to fraction form
    556,815.02/768,405.23 = 302,166.21/x
  3. Step 3: Cross multiply
    556,815.02x = 768,405.23 × 302,166.21
  4. Step 4: Simplify right side
    556,815.02x = 232,186,094,582.45
  5. Step 5: Solve for x
    x = 232,186,094,582.45/556,815.02
  6. Step 6: Final answer
    x = 416,989.64

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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.