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Finding the Fourth Proportional to 450,714.42, 622,407.38 and 289,848.72

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Solution

The fourth proportional to 450,714.42, 622,407.38 and 289,848.72 is: 400,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,714.42 : 622,407.38 = 289,848.72 : x
  2. Step 2: Convert to fraction form
    450,714.42/622,407.38 = 289,848.72/x
  3. Step 3: Cross multiply
    450,714.42x = 622,407.38 × 289,848.72
  4. Step 4: Simplify right side
    450,714.42x = 180,403,983,296.34
  5. Step 5: Solve for x
    x = 180,403,983,296.34/450,714.42
  6. Step 6: Final answer
    x = 400,262.28

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1.5x scale

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.