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Finding the Fourth Proportional to 478,007.67, 717,031.29 and 141,048.32

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Solution

The fourth proportional to 478,007.67, 717,031.29 and 141,048.32 is: 211,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,007.67 : 717,031.29 = 141,048.32 : x
  2. Step 2: Convert to fraction form
    478,007.67/717,031.29 = 141,048.32/x
  3. Step 3: Cross multiply
    478,007.67x = 717,031.29 × 141,048.32
  4. Step 4: Simplify right side
    478,007.67x = 101,136,054,551.54
  5. Step 5: Solve for x
    x = 101,136,054,551.54/478,007.67
  6. Step 6: Final answer
    x = 211,578.31

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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.