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Finding the Fourth Proportional to 310,214.15, 434,890.30 and 310,214.15

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Solution

The fourth proportional to 310,214.15, 434,890.30 and 310,214.15 is: 434,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,214.15 : 434,890.30 = 310,214.15 : x
  2. Step 2: Convert to fraction form
    310,214.15/434,890.30 = 310,214.15/x
  3. Step 3: Cross multiply
    310,214.15x = 434,890.30 × 310,214.15
  4. Step 4: Simplify right side
    310,214.15x = 134,909,124,757.75
  5. Step 5: Solve for x
    x = 134,909,124,757.75/310,214.15
  6. Step 6: Final answer
    x = 434,890.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.