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Finding the Fourth Proportional to 487,709.64, 673,144.65 and 296,784.54

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Solution

The fourth proportional to 487,709.64, 673,144.65 and 296,784.54 is: 409,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,709.64 : 673,144.65 = 296,784.54 : x
  2. Step 2: Convert to fraction form
    487,709.64/673,144.65 = 296,784.54/x
  3. Step 3: Cross multiply
    487,709.64x = 673,144.65 × 296,784.54
  4. Step 4: Simplify right side
    487,709.64x = 199,778,925,303.71
  5. Step 5: Solve for x
    x = 199,778,925,303.71/487,709.64
  6. Step 6: Final answer
    x = 409,626.77

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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.