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Finding the Fourth Proportional to 510,280.74, 765,428.40 and 177,856.74

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Solution

The fourth proportional to 510,280.74, 765,428.40 and 177,856.74 is: 266,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,280.74 : 765,428.40 = 177,856.74 : x
  2. Step 2: Convert to fraction form
    510,280.74/765,428.40 = 177,856.74/x
  3. Step 3: Cross multiply
    510,280.74x = 765,428.40 × 177,856.74
  4. Step 4: Simplify right side
    510,280.74x = 136,136,599,927.42
  5. Step 5: Solve for x
    x = 136,136,599,927.42/510,280.74
  6. Step 6: Final answer
    x = 266,787.65

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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.