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Finding the Fourth Proportional to 517,714.78, 714,494.64 and 302,841.22

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Solution

The fourth proportional to 517,714.78, 714,494.64 and 302,841.22 is: 417,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,714.78 : 714,494.64 = 302,841.22 : x
  2. Step 2: Convert to fraction form
    517,714.78/714,494.64 = 302,841.22/x
  3. Step 3: Cross multiply
    517,714.78x = 714,494.64 × 302,841.22
  4. Step 4: Simplify right side
    517,714.78x = 216,378,428,461.06
  5. Step 5: Solve for x
    x = 216,378,428,461.06/517,714.78
  6. Step 6: Final answer
    x = 417,949.10

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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.