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Finding the Fourth Proportional to 290,461.90, 434,708.70 and 290,461.90

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Solution

The fourth proportional to 290,461.90, 434,708.70 and 290,461.90 is: 434,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,461.90 : 434,708.70 = 290,461.90 : x
  2. Step 2: Convert to fraction form
    290,461.90/434,708.70 = 290,461.90/x
  3. Step 3: Cross multiply
    290,461.90x = 434,708.70 × 290,461.90
  4. Step 4: Simplify right side
    290,461.90x = 126,266,314,948.53
  5. Step 5: Solve for x
    x = 126,266,314,948.53/290,461.90
  6. Step 6: Final answer
    x = 434,708.70

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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.