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Finding the Fourth Proportional to 775,280.80, 1,162,959.60 and 402,032.80

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Solution

The fourth proportional to 775,280.80, 1,162,959.60 and 402,032.80 is: 603,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,280.80 : 1,162,959.60 = 402,032.80 : x
  2. Step 2: Convert to fraction form
    775,280.80/1,162,959.60 = 402,032.80/x
  3. Step 3: Cross multiply
    775,280.80x = 1,162,959.60 × 402,032.80
  4. Step 4: Simplify right side
    775,280.80x = 467,547,904,274.88
  5. Step 5: Solve for x
    x = 467,547,904,274.88/775,280.80
  6. Step 6: Final answer
    x = 603,069.11

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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.