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Finding the Fourth Proportional to 567,164.85, 782,678.28 and 309,045.24

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Solution

The fourth proportional to 567,164.85, 782,678.28 and 309,045.24 is: 426,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,164.85 : 782,678.28 = 309,045.24 : x
  2. Step 2: Convert to fraction form
    567,164.85/782,678.28 = 309,045.24/x
  3. Step 3: Cross multiply
    567,164.85x = 782,678.28 × 309,045.24
  4. Step 4: Simplify right side
    567,164.85x = 241,882,996,885.39
  5. Step 5: Solve for x
    x = 241,882,996,885.39/567,164.85
  6. Step 6: Final answer
    x = 426,477.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.