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Finding the Fourth Proportional to 319,982.40, 478,807.20 and 291,988.80

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Solution

The fourth proportional to 319,982.40, 478,807.20 and 291,988.80 is: 436,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,982.40 : 478,807.20 = 291,988.80 : x
  2. Step 2: Convert to fraction form
    319,982.40/478,807.20 = 291,988.80/x
  3. Step 3: Cross multiply
    319,982.40x = 478,807.20 × 291,988.80
  4. Step 4: Simplify right side
    319,982.40x = 139,806,339,759.36
  5. Step 5: Solve for x
    x = 139,806,339,759.36/319,982.40
  6. Step 6: Final answer
    x = 436,918.84

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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.