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Finding the Fourth Proportional to 421,569.14, 632,602.65 and 155,515.46

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Solution

The fourth proportional to 421,569.14, 632,602.65 and 155,515.46 is: 233,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,569.14 : 632,602.65 = 155,515.46 : x
  2. Step 2: Convert to fraction form
    421,569.14/632,602.65 = 155,515.46/x
  3. Step 3: Cross multiply
    421,569.14x = 632,602.65 × 155,515.46
  4. Step 4: Simplify right side
    421,569.14x = 98,379,492,111.97
  5. Step 5: Solve for x
    x = 98,379,492,111.97/421,569.14
  6. Step 6: Final answer
    x = 233,365.02

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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.