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Finding the Fourth Proportional to 407,322.64, 562,352.52 and 316,507.06

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Solution

The fourth proportional to 407,322.64, 562,352.52 and 316,507.06 is: 436,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,322.64 : 562,352.52 = 316,507.06 : x
  2. Step 2: Convert to fraction form
    407,322.64/562,352.52 = 316,507.06/x
  3. Step 3: Cross multiply
    407,322.64x = 562,352.52 × 316,507.06
  4. Step 4: Simplify right side
    407,322.64x = 177,988,542,788.79
  5. Step 5: Solve for x
    x = 177,988,542,788.79/407,322.64
  6. Step 6: Final answer
    x = 436,971.89

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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.