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Finding the Fourth Proportional to 478,829.20, 718,243.80 and 146,405.20

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Solution

The fourth proportional to 478,829.20, 718,243.80 and 146,405.20 is: 219,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,829.20 : 718,243.80 = 146,405.20 : x
  2. Step 2: Convert to fraction form
    478,829.20/718,243.80 = 146,405.20/x
  3. Step 3: Cross multiply
    478,829.20x = 718,243.80 × 146,405.20
  4. Step 4: Simplify right side
    478,829.20x = 105,154,627,187.76
  5. Step 5: Solve for x
    x = 105,154,627,187.76/478,829.20
  6. Step 6: Final answer
    x = 219,607.80

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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.