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Finding the Fourth Proportional to 423,210, 634,852.26 and 156,973.44

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Solution

The fourth proportional to 423,210, 634,852.26 and 156,973.44 is: 235,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,210 : 634,852.26 = 156,973.44 : x
  2. Step 2: Convert to fraction form
    423,210/634,852.26 = 156,973.44/x
  3. Step 3: Cross multiply
    423,210x = 634,852.26 × 156,973.44
  4. Step 4: Simplify right side
    423,210x = 99,654,943,143.97
  5. Step 5: Solve for x
    x = 99,654,943,143.97/423,210
  6. Step 6: Final answer
    x = 235,473.98

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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.