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Finding the Fourth Proportional to 556,978.12, 768,609.18 and 302,323.84

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Solution

The fourth proportional to 556,978.12, 768,609.18 and 302,323.84 is: 417,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,978.12 : 768,609.18 = 302,323.84 : x
  2. Step 2: Convert to fraction form
    556,978.12/768,609.18 = 302,323.84/x
  3. Step 3: Cross multiply
    556,978.12x = 768,609.18 × 302,323.84
  4. Step 4: Simplify right side
    556,978.12x = 232,368,878,756.85
  5. Step 5: Solve for x
    x = 232,368,878,756.85/556,978.12
  6. Step 6: Final answer
    x = 417,195.70

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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.