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Finding the Fourth Proportional to 478,445.13, 717,740.46 and 162,828.23

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Solution

The fourth proportional to 478,445.13, 717,740.46 and 162,828.23 is: 244,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,445.13 : 717,740.46 = 162,828.23 : x
  2. Step 2: Convert to fraction form
    478,445.13/717,740.46 = 162,828.23/x
  3. Step 3: Cross multiply
    478,445.13x = 717,740.46 × 162,828.23
  4. Step 4: Simplify right side
    478,445.13x = 116,868,405,112.48
  5. Step 5: Solve for x
    x = 116,868,405,112.48/478,445.13
  6. Step 6: Final answer
    x = 244,267.10

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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.