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Finding the Fourth Proportional to 314,377.40, 470,639.46 and 207,565.40

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Solution

The fourth proportional to 314,377.40, 470,639.46 and 207,565.40 is: 310,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,377.40 : 470,639.46 = 207,565.40 : x
  2. Step 2: Convert to fraction form
    314,377.40/470,639.46 = 207,565.40/x
  3. Step 3: Cross multiply
    314,377.40x = 470,639.46 × 207,565.40
  4. Step 4: Simplify right side
    314,377.40x = 97,688,467,770.68
  5. Step 5: Solve for x
    x = 97,688,467,770.68/314,377.40
  6. Step 6: Final answer
    x = 310,736.29

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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.