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Finding the Fourth Proportional to 655,780.54, 983,270.10 and 314,328.45

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Solution

The fourth proportional to 655,780.54, 983,270.10 and 314,328.45 is: 471,300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,780.54 : 983,270.10 = 314,328.45 : x
  2. Step 2: Convert to fraction form
    655,780.54/983,270.10 = 314,328.45/x
  3. Step 3: Cross multiply
    655,780.54x = 983,270.10 × 314,328.45
  4. Step 4: Simplify right side
    655,780.54x = 309,069,765,799.45
  5. Step 5: Solve for x
    x = 309,069,765,799.45/655,780.54
  6. Step 6: Final answer
    x = 471,300.61

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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.