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Finding the Fourth Proportional to 423,348.16, 634,930.08 and 212,762.56

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Solution

The fourth proportional to 423,348.16, 634,930.08 and 212,762.56 is: 319,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,348.16 : 634,930.08 = 212,762.56 : x
  2. Step 2: Convert to fraction form
    423,348.16/634,930.08 = 212,762.56/x
  3. Step 3: Cross multiply
    423,348.16x = 634,930.08 × 212,762.56
  4. Step 4: Simplify right side
    423,348.16x = 135,089,349,241.81
  5. Step 5: Solve for x
    x = 135,089,349,241.81/423,348.16
  6. Step 6: Final answer
    x = 319,097.52

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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.