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Finding the Fourth Proportional to 401,407.68, 553,938.03 and 231,638.16

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Solution

The fourth proportional to 401,407.68, 553,938.03 and 231,638.16 is: 319,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,407.68 : 553,938.03 = 231,638.16 : x
  2. Step 2: Convert to fraction form
    401,407.68/553,938.03 = 231,638.16/x
  3. Step 3: Cross multiply
    401,407.68x = 553,938.03 × 231,638.16
  4. Step 4: Simplify right side
    401,407.68x = 128,313,186,023.23
  5. Step 5: Solve for x
    x = 128,313,186,023.23/401,407.68
  6. Step 6: Final answer
    x = 319,658.02

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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.