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Finding the Fourth Proportional to 314,989.97, 434,688.12 and 171,752.40

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Solution

The fourth proportional to 314,989.97, 434,688.12 and 171,752.40 is: 237,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,989.97 : 434,688.12 = 171,752.40 : x
  2. Step 2: Convert to fraction form
    314,989.97/434,688.12 = 171,752.40/x
  3. Step 3: Cross multiply
    314,989.97x = 434,688.12 × 171,752.40
  4. Step 4: Simplify right side
    314,989.97x = 74,658,727,861.49
  5. Step 5: Solve for x
    x = 74,658,727,861.49/314,989.97
  6. Step 6: Final answer
    x = 237,019.39

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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.