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Finding the Fourth Proportional to 478,297.62, 717,417.27 and 197,807.58

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Solution

The fourth proportional to 478,297.62, 717,417.27 and 197,807.58 is: 296,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,297.62 : 717,417.27 = 197,807.58 : x
  2. Step 2: Convert to fraction form
    478,297.62/717,417.27 = 197,807.58/x
  3. Step 3: Cross multiply
    478,297.62x = 717,417.27 × 197,807.58
  4. Step 4: Simplify right side
    478,297.62x = 141,910,574,028.91
  5. Step 5: Solve for x
    x = 141,910,574,028.91/478,297.62
  6. Step 6: Final answer
    x = 296,699.31

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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.