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Finding the Fourth Proportional to 421,692.66, 632,133 and 155,307.90

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Solution

The fourth proportional to 421,692.66, 632,133 and 155,307.90 is: 232,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,692.66 : 632,133 = 155,307.90 : x
  2. Step 2: Convert to fraction form
    421,692.66/632,133 = 155,307.90/x
  3. Step 3: Cross multiply
    421,692.66x = 632,133 × 155,307.90
  4. Step 4: Simplify right side
    421,692.66x = 98,175,248,750.70
  5. Step 5: Solve for x
    x = 98,175,248,750.70/421,692.66
  6. Step 6: Final answer
    x = 232,812.33

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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.