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Finding the Fourth Proportional to 611,503.94, 917,301.05 and 162,214.88

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Solution

The fourth proportional to 611,503.94, 917,301.05 and 162,214.88 is: 243,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,503.94 : 917,301.05 = 162,214.88 : x
  2. Step 2: Convert to fraction form
    611,503.94/917,301.05 = 162,214.88/x
  3. Step 3: Cross multiply
    611,503.94x = 917,301.05 × 162,214.88
  4. Step 4: Simplify right side
    611,503.94x = 148,799,874,352.04
  5. Step 5: Solve for x
    x = 148,799,874,352.04/611,503.94
  6. Step 6: Final answer
    x = 243,334.29

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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.