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Finding the Fourth Proportional to 256,283.60, 384,281.42 and 106,423.07

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Solution

The fourth proportional to 256,283.60, 384,281.42 and 106,423.07 is: 159,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,283.60 : 384,281.42 = 106,423.07 : x
  2. Step 2: Convert to fraction form
    256,283.60/384,281.42 = 106,423.07/x
  3. Step 3: Cross multiply
    256,283.60x = 384,281.42 × 106,423.07
  4. Step 4: Simplify right side
    256,283.60x = 40,896,406,006.84
  5. Step 5: Solve for x
    x = 40,896,406,006.84/256,283.60
  6. Step 6: Final answer
    x = 159,574.81

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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.