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Finding the Fourth Proportional to 668,114.60, 999,839.10 and 458,162.60

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Solution

The fourth proportional to 668,114.60, 999,839.10 and 458,162.60 is: 685,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,114.60 : 999,839.10 = 458,162.60 : x
  2. Step 2: Convert to fraction form
    668,114.60/999,839.10 = 458,162.60/x
  3. Step 3: Cross multiply
    668,114.60x = 999,839.10 × 458,162.60
  4. Step 4: Simplify right side
    668,114.60x = 458,088,881,637.66
  5. Step 5: Solve for x
    x = 458,088,881,637.66/668,114.60
  6. Step 6: Final answer
    x = 685,644.17

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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.