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Finding the Fourth Proportional to 564,564, 779,107.47 and 306,446.07

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Solution

The fourth proportional to 564,564, 779,107.47 and 306,446.07 is: 422,900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,564 : 779,107.47 = 306,446.07 : x
  2. Step 2: Convert to fraction form
    564,564/779,107.47 = 306,446.07/x
  3. Step 3: Cross multiply
    564,564x = 779,107.47 × 306,446.07
  4. Step 4: Simplify right side
    564,564x = 238,754,422,289.14
  5. Step 5: Solve for x
    x = 238,754,422,289.14/564,564
  6. Step 6: Final answer
    x = 422,900.54

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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.