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Finding the Fourth Proportional to 610,869.68, 916,084.92 and 211,402

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Solution

The fourth proportional to 610,869.68, 916,084.92 and 211,402 is: 317,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,869.68 : 916,084.92 = 211,402 : x
  2. Step 2: Convert to fraction form
    610,869.68/916,084.92 = 211,402/x
  3. Step 3: Cross multiply
    610,869.68x = 916,084.92 × 211,402
  4. Step 4: Simplify right side
    610,869.68x = 193,662,184,257.84
  5. Step 5: Solve for x
    x = 193,662,184,257.84/610,869.68
  6. Step 6: Final answer
    x = 317,027.00

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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.