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Finding the Fourth Proportional to 410,715.84, 615,775.04 and 277,266.72

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Solution

The fourth proportional to 410,715.84, 615,775.04 and 277,266.72 is: 415,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,715.84 : 615,775.04 = 277,266.72 : x
  2. Step 2: Convert to fraction form
    410,715.84/615,775.04 = 277,266.72/x
  3. Step 3: Cross multiply
    410,715.84x = 615,775.04 × 277,266.72
  4. Step 4: Simplify right side
    410,715.84x = 170,733,925,598.67
  5. Step 5: Solve for x
    x = 170,733,925,598.67/410,715.84
  6. Step 6: Final answer
    x = 415,698.42

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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.