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Finding the Fourth Proportional to 522,352.80, 782,362.80 and 403,088.40

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Solution

The fourth proportional to 522,352.80, 782,362.80 and 403,088.40 is: 603,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,352.80 : 782,362.80 = 403,088.40 : x
  2. Step 2: Convert to fraction form
    522,352.80/782,362.80 = 403,088.40/x
  3. Step 3: Cross multiply
    522,352.80x = 782,362.80 × 403,088.40
  4. Step 4: Simplify right side
    522,352.80x = 315,361,369,271.52
  5. Step 5: Solve for x
    x = 315,361,369,271.52/522,352.80
  6. Step 6: Final answer
    x = 603,732.51

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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.