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Finding the Fourth Proportional to 530,647.64, 732,307.68 and 288,940.40

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Solution

The fourth proportional to 530,647.64, 732,307.68 and 288,940.40 is: 398,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,647.64 : 732,307.68 = 288,940.40 : x
  2. Step 2: Convert to fraction form
    530,647.64/732,307.68 = 288,940.40/x
  3. Step 3: Cross multiply
    530,647.64x = 732,307.68 × 288,940.40
  4. Step 4: Simplify right side
    530,647.64x = 211,593,273,982.27
  5. Step 5: Solve for x
    x = 211,593,273,982.27/530,647.64
  6. Step 6: Final answer
    x = 398,745.34

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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.