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Finding the Fourth Proportional to 256,916.30, 385,374.45 and 256,916.30

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Solution

The fourth proportional to 256,916.30, 385,374.45 and 256,916.30 is: 385,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,916.30 : 385,374.45 = 256,916.30 : x
  2. Step 2: Convert to fraction form
    256,916.30/385,374.45 = 256,916.30/x
  3. Step 3: Cross multiply
    256,916.30x = 385,374.45 × 256,916.30
  4. Step 4: Simplify right side
    256,916.30x = 99,008,977,808.54
  5. Step 5: Solve for x
    x = 99,008,977,808.54/256,916.30
  6. Step 6: Final answer
    x = 385,374.45

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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.