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Finding the Fourth Proportional to 478,802.26, 719,016.90 and 319,899.32

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Solution

The fourth proportional to 478,802.26, 719,016.90 and 319,899.32 is: 480,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,802.26 : 719,016.90 = 319,899.32 : x
  2. Step 2: Convert to fraction form
    478,802.26/719,016.90 = 319,899.32/x
  3. Step 3: Cross multiply
    478,802.26x = 719,016.90 × 319,899.32
  4. Step 4: Simplify right side
    478,802.26x = 230,013,021,124.02
  5. Step 5: Solve for x
    x = 230,013,021,124.02/478,802.26
  6. Step 6: Final answer
    x = 480,392.51

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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.