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Finding the Fourth Proportional to 478,914, 718,371.27 and 146,490

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Solution

The fourth proportional to 478,914, 718,371.27 and 146,490 is: 219,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,914 : 718,371.27 = 146,490 : x
  2. Step 2: Convert to fraction form
    478,914/718,371.27 = 146,490/x
  3. Step 3: Cross multiply
    478,914x = 718,371.27 × 146,490
  4. Step 4: Simplify right side
    478,914x = 105,234,207,342.30
  5. Step 5: Solve for x
    x = 105,234,207,342.30/478,914
  6. Step 6: Final answer
    x = 219,735.08

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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.