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Finding the Fourth Proportional to 310,905.80, 466,358.70 and 287,059.40

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Solution

The fourth proportional to 310,905.80, 466,358.70 and 287,059.40 is: 430,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,905.80 : 466,358.70 = 287,059.40 : x
  2. Step 2: Convert to fraction form
    310,905.80/466,358.70 = 287,059.40/x
  3. Step 3: Cross multiply
    310,905.80x = 466,358.70 × 287,059.40
  4. Step 4: Simplify right side
    310,905.80x = 133,872,648,606.78
  5. Step 5: Solve for x
    x = 133,872,648,606.78/310,905.80
  6. Step 6: Final answer
    x = 430,589.10

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1.5x scale

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.