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Finding the Fourth Proportional to 673,647.68, 929,225.76 and 401,534.24

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Solution

The fourth proportional to 673,647.68, 929,225.76 and 401,534.24 is: 553,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,647.68 : 929,225.76 = 401,534.24 : x
  2. Step 2: Convert to fraction form
    673,647.68/929,225.76 = 401,534.24/x
  3. Step 3: Cross multiply
    673,647.68x = 929,225.76 × 401,534.24
  4. Step 4: Simplify right side
    673,647.68x = 373,115,959,330.02
  5. Step 5: Solve for x
    x = 373,115,959,330.02/673,647.68
  6. Step 6: Final answer
    x = 553,874.04

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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.