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Finding the Fourth Proportional to 668,152.76, 1,001,752.96 and 312,973

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Solution

The fourth proportional to 668,152.76, 1,001,752.96 and 312,973 is: 469,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,152.76 : 1,001,752.96 = 312,973 : x
  2. Step 2: Convert to fraction form
    668,152.76/1,001,752.96 = 312,973/x
  3. Step 3: Cross multiply
    668,152.76x = 1,001,752.96 × 312,973
  4. Step 4: Simplify right side
    668,152.76x = 313,521,629,150.08
  5. Step 5: Solve for x
    x = 313,521,629,150.08/668,152.76
  6. Step 6: Final answer
    x = 469,236.45

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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.