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Finding the Fourth Proportional to 978,953.74, 1,468,501.38 and 409,762.38

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Solution

The fourth proportional to 978,953.74, 1,468,501.38 and 409,762.38 is: 614,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,953.74 : 1,468,501.38 = 409,762.38 : x
  2. Step 2: Convert to fraction form
    978,953.74/1,468,501.38 = 409,762.38/x
  3. Step 3: Cross multiply
    978,953.74x = 1,468,501.38 × 409,762.38
  4. Step 4: Simplify right side
    978,953.74x = 601,736,620,502.08
  5. Step 5: Solve for x
    x = 601,736,620,502.08/978,953.74
  6. Step 6: Final answer
    x = 614,673.19

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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.