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Finding the Fourth Proportional to 423,209.65, 634,368.16 and 138,825.94

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Solution

The fourth proportional to 423,209.65, 634,368.16 and 138,825.94 is: 208,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,209.65 : 634,368.16 = 138,825.94 : x
  2. Step 2: Convert to fraction form
    423,209.65/634,368.16 = 138,825.94/x
  3. Step 3: Cross multiply
    423,209.65x = 634,368.16 × 138,825.94
  4. Step 4: Simplify right side
    423,209.65x = 88,066,756,118.07
  5. Step 5: Solve for x
    x = 88,066,756,118.07/423,209.65
  6. Step 6: Final answer
    x = 208,092.50

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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.