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Finding the Fourth Proportional to 556,800.66, 768,386.97 and 302,151.78

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Solution

The fourth proportional to 556,800.66, 768,386.97 and 302,151.78 is: 416,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,800.66 : 768,386.97 = 302,151.78 : x
  2. Step 2: Convert to fraction form
    556,800.66/768,386.97 = 302,151.78/x
  3. Step 3: Cross multiply
    556,800.66x = 768,386.97 × 302,151.78
  4. Step 4: Simplify right side
    556,800.66x = 232,169,490,714.31
  5. Step 5: Solve for x
    x = 232,169,490,714.31/556,800.66
  6. Step 6: Final answer
    x = 416,970.57

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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.