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Finding the Fourth Proportional to 423,064.80, 634,432.56 and 212,556

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Solution

The fourth proportional to 423,064.80, 634,432.56 and 212,556 is: 318,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,064.80 : 634,432.56 = 212,556 : x
  2. Step 2: Convert to fraction form
    423,064.80/634,432.56 = 212,556/x
  3. Step 3: Cross multiply
    423,064.80x = 634,432.56 × 212,556
  4. Step 4: Simplify right side
    423,064.80x = 134,852,447,223.36
  5. Step 5: Solve for x
    x = 134,852,447,223.36/423,064.80
  6. Step 6: Final answer
    x = 318,751.28

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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.