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Finding the Fourth Proportional to 319,577.40, 479,366.10 and 314,328.60

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Solution

The fourth proportional to 319,577.40, 479,366.10 and 314,328.60 is: 471,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,577.40 : 479,366.10 = 314,328.60 : x
  2. Step 2: Convert to fraction form
    319,577.40/479,366.10 = 314,328.60/x
  3. Step 3: Cross multiply
    319,577.40x = 479,366.10 × 314,328.60
  4. Step 4: Simplify right side
    319,577.40x = 150,678,475,100.46
  5. Step 5: Solve for x
    x = 150,678,475,100.46/319,577.40
  6. Step 6: Final answer
    x = 471,492.90

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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.