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Finding the Fourth Proportional to 494,970.80, 683,059.28 and 280,106.96

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Solution

The fourth proportional to 494,970.80, 683,059.28 and 280,106.96 is: 386,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,970.80 : 683,059.28 = 280,106.96 : x
  2. Step 2: Convert to fraction form
    494,970.80/683,059.28 = 280,106.96/x
  3. Step 3: Cross multiply
    494,970.80x = 683,059.28 × 280,106.96
  4. Step 4: Simplify right side
    494,970.80x = 191,329,658,420.59
  5. Step 5: Solve for x
    x = 191,329,658,420.59/494,970.80
  6. Step 6: Final answer
    x = 386,547.36

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1.5x scale

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.