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Finding the Fourth Proportional to 460,301, 690,460.14 and 127,885.64

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Solution

The fourth proportional to 460,301, 690,460.14 and 127,885.64 is: 191,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,301 : 690,460.14 = 127,885.64 : x
  2. Step 2: Convert to fraction form
    460,301/690,460.14 = 127,885.64/x
  3. Step 3: Cross multiply
    460,301x = 690,460.14 × 127,885.64
  4. Step 4: Simplify right side
    460,301x = 88,299,936,898.39
  5. Step 5: Solve for x
    x = 88,299,936,898.39/460,301
  6. Step 6: Final answer
    x = 191,830.86

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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.