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Finding the Fourth Proportional to 434,701.70, 652,246.95 and 154,420.10

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Solution

The fourth proportional to 434,701.70, 652,246.95 and 154,420.10 is: 231,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,701.70 : 652,246.95 = 154,420.10 : x
  2. Step 2: Convert to fraction form
    434,701.70/652,246.95 = 154,420.10/x
  3. Step 3: Cross multiply
    434,701.70x = 652,246.95 × 154,420.10
  4. Step 4: Simplify right side
    434,701.70x = 100,720,039,243.70
  5. Step 5: Solve for x
    x = 100,720,039,243.70/434,701.70
  6. Step 6: Final answer
    x = 231,699.21

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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.