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Finding the Fourth Proportional to 662,842.86, 914,432.13 and 447,904.50

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Solution

The fourth proportional to 662,842.86, 914,432.13 and 447,904.50 is: 617,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,842.86 : 914,432.13 = 447,904.50 : x
  2. Step 2: Convert to fraction form
    662,842.86/914,432.13 = 447,904.50/x
  3. Step 3: Cross multiply
    662,842.86x = 914,432.13 × 447,904.50
  4. Step 4: Simplify right side
    662,842.86x = 409,578,265,971.59
  5. Step 5: Solve for x
    x = 409,578,265,971.59/662,842.86
  6. Step 6: Final answer
    x = 617,911.56

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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.