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Finding the Fourth Proportional to 611,410, 916,632.67 and 386,295.95

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Solution

The fourth proportional to 611,410, 916,632.67 and 386,295.95 is: 579,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,410 : 916,632.67 = 386,295.95 : x
  2. Step 2: Convert to fraction form
    611,410/916,632.67 = 386,295.95/x
  3. Step 3: Cross multiply
    611,410x = 916,632.67 × 386,295.95
  4. Step 4: Simplify right side
    611,410x = 354,091,481,544.04
  5. Step 5: Solve for x
    x = 354,091,481,544.04/611,410
  6. Step 6: Final answer
    x = 579,139.17

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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.