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Finding the Fourth Proportional to 462,409.56, 638,105.58 and 290,417.40

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Solution

The fourth proportional to 462,409.56, 638,105.58 and 290,417.40 is: 400,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,409.56 : 638,105.58 = 290,417.40 : x
  2. Step 2: Convert to fraction form
    462,409.56/638,105.58 = 290,417.40/x
  3. Step 3: Cross multiply
    462,409.56x = 638,105.58 × 290,417.40
  4. Step 4: Simplify right side
    462,409.56x = 185,316,963,469.09
  5. Step 5: Solve for x
    x = 185,316,963,469.09/462,409.56
  6. Step 6: Final answer
    x = 400,763.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.