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Finding the Fourth Proportional to 556,977.68, 768,630.12 and 302,328.80

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Solution

The fourth proportional to 556,977.68, 768,630.12 and 302,328.80 is: 417,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,977.68 : 768,630.12 = 302,328.80 : x
  2. Step 2: Convert to fraction form
    556,977.68/768,630.12 = 302,328.80/x
  3. Step 3: Cross multiply
    556,977.68x = 768,630.12 × 302,328.80
  4. Step 4: Simplify right side
    556,977.68x = 232,379,021,823.46
  5. Step 5: Solve for x
    x = 232,379,021,823.46/556,977.68
  6. Step 6: Final answer
    x = 417,214.24

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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.