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Finding the Fourth Proportional to 478,406.07, 717,738.65 and 178,917.07

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Solution

The fourth proportional to 478,406.07, 717,738.65 and 178,917.07 is: 268,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,406.07 : 717,738.65 = 178,917.07 : x
  2. Step 2: Convert to fraction form
    478,406.07/717,738.65 = 178,917.07/x
  3. Step 3: Cross multiply
    478,406.07x = 717,738.65 × 178,917.07
  4. Step 4: Simplify right side
    478,406.07x = 128,415,696,283.76
  5. Step 5: Solve for x
    x = 128,415,696,283.76/478,406.07
  6. Step 6: Final answer
    x = 268,424.05

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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.