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Finding the Fourth Proportional to 434,612.94, 651,784.41 and 209,833.62

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Solution

The fourth proportional to 434,612.94, 651,784.41 and 209,833.62 is: 314,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,612.94 : 651,784.41 = 209,833.62 : x
  2. Step 2: Convert to fraction form
    434,612.94/651,784.41 = 209,833.62/x
  3. Step 3: Cross multiply
    434,612.94x = 651,784.41 × 209,833.62
  4. Step 4: Simplify right side
    434,612.94x = 136,766,282,209.86
  5. Step 5: Solve for x
    x = 136,766,282,209.86/434,612.94
  6. Step 6: Final answer
    x = 314,685.25

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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.