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Finding the Fourth Proportional to 290,412.59, 435,730.56 and 140,641.36

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Solution

The fourth proportional to 290,412.59, 435,730.56 and 140,641.36 is: 211,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,412.59 : 435,730.56 = 140,641.36 : x
  2. Step 2: Convert to fraction form
    290,412.59/435,730.56 = 140,641.36/x
  3. Step 3: Cross multiply
    290,412.59x = 435,730.56 × 140,641.36
  4. Step 4: Simplify right side
    290,412.59x = 61,281,736,373.31
  5. Step 5: Solve for x
    x = 61,281,736,373.31/290,412.59
  6. Step 6: Final answer
    x = 211,016.11

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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.