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Finding the Fourth Proportional to 458,826.40, 686,857.20 and 403,530.40

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Solution

The fourth proportional to 458,826.40, 686,857.20 and 403,530.40 is: 604,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,826.40 : 686,857.20 = 403,530.40 : x
  2. Step 2: Convert to fraction form
    458,826.40/686,857.20 = 403,530.40/x
  3. Step 3: Cross multiply
    458,826.40x = 686,857.20 × 403,530.40
  4. Step 4: Simplify right side
    458,826.40x = 277,167,760,658.88
  5. Step 5: Solve for x
    x = 277,167,760,658.88/458,826.40
  6. Step 6: Final answer
    x = 604,079.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.