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Finding the Fourth Proportional to 290,533.80, 435,714.30 and 112,938.60

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Solution

The fourth proportional to 290,533.80, 435,714.30 and 112,938.60 is: 169,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,533.80 : 435,714.30 = 112,938.60 : x
  2. Step 2: Convert to fraction form
    290,533.80/435,714.30 = 112,938.60/x
  3. Step 3: Cross multiply
    290,533.80x = 435,714.30 × 112,938.60
  4. Step 4: Simplify right side
    290,533.80x = 49,208,963,041.98
  5. Step 5: Solve for x
    x = 49,208,963,041.98/290,533.80
  6. Step 6: Final answer
    x = 169,374.31

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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.