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Finding the Fourth Proportional to 256,607.40, 384,911.10 and 209,951.40

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Solution

The fourth proportional to 256,607.40, 384,911.10 and 209,951.40 is: 314,927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,607.40 : 384,911.10 = 209,951.40 : x
  2. Step 2: Convert to fraction form
    256,607.40/384,911.10 = 209,951.40/x
  3. Step 3: Cross multiply
    256,607.40x = 384,911.10 × 209,951.40
  4. Step 4: Simplify right side
    256,607.40x = 80,812,624,320.54
  5. Step 5: Solve for x
    x = 80,812,624,320.54/256,607.40
  6. Step 6: Final answer
    x = 314,927.10

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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.