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Finding the Fourth Proportional to 478,443.61, 717,670.54 and 204,852.95

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Solution

The fourth proportional to 478,443.61, 717,670.54 and 204,852.95 is: 307,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,443.61 : 717,670.54 = 204,852.95 : x
  2. Step 2: Convert to fraction form
    478,443.61/717,670.54 = 204,852.95/x
  3. Step 3: Cross multiply
    478,443.61x = 717,670.54 × 204,852.95
  4. Step 4: Simplify right side
    478,443.61x = 147,016,923,658.74
  5. Step 5: Solve for x
    x = 147,016,923,658.74/478,443.61
  6. Step 6: Final answer
    x = 307,281.62

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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.