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Finding the Fourth Proportional to 256,838.61, 385,323.64 and 150,312.27

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Solution

The fourth proportional to 256,838.61, 385,323.64 and 150,312.27 is: 225,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,838.61 : 385,323.64 = 150,312.27 : x
  2. Step 2: Convert to fraction form
    256,838.61/385,323.64 = 150,312.27/x
  3. Step 3: Cross multiply
    256,838.61x = 385,323.64 × 150,312.27
  4. Step 4: Simplify right side
    256,838.61x = 57,918,870,637.28
  5. Step 5: Solve for x
    x = 57,918,870,637.28/256,838.61
  6. Step 6: Final answer
    x = 225,506.87

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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.