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Finding the Fourth Proportional to 319,657.76, 479,486.88 and 109,297.28

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Solution

The fourth proportional to 319,657.76, 479,486.88 and 109,297.28 is: 163,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,657.76 : 479,486.88 = 109,297.28 : x
  2. Step 2: Convert to fraction form
    319,657.76/479,486.88 = 109,297.28/x
  3. Step 3: Cross multiply
    319,657.76x = 479,486.88 × 109,297.28
  4. Step 4: Simplify right side
    319,657.76x = 52,406,611,779.69
  5. Step 5: Solve for x
    x = 52,406,611,779.69/319,657.76
  6. Step 6: Final answer
    x = 163,946.00

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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.