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Finding the Fourth Proportional to 314,683.20, 434,815.20 and 251,542.08

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Solution

The fourth proportional to 314,683.20, 434,815.20 and 251,542.08 is: 347,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,683.20 : 434,815.20 = 251,542.08 : x
  2. Step 2: Convert to fraction form
    314,683.20/434,815.20 = 251,542.08/x
  3. Step 3: Cross multiply
    314,683.20x = 434,815.20 × 251,542.08
  4. Step 4: Simplify right side
    314,683.20x = 109,374,319,823.62
  5. Step 5: Solve for x
    x = 109,374,319,823.62/314,683.20
  6. Step 6: Final answer
    x = 347,569.62

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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.