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Finding the Fourth Proportional to 401,038.56, 553,409.36 and 219,714.40

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Solution

The fourth proportional to 401,038.56, 553,409.36 and 219,714.40 is: 303,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,038.56 : 553,409.36 = 219,714.40 : x
  2. Step 2: Convert to fraction form
    401,038.56/553,409.36 = 219,714.40/x
  3. Step 3: Cross multiply
    401,038.56x = 553,409.36 × 219,714.40
  4. Step 4: Simplify right side
    401,038.56x = 121,592,005,486.78
  5. Step 5: Solve for x
    x = 121,592,005,486.78/401,038.56
  6. Step 6: Final answer
    x = 303,192.80

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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.