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Finding the Fourth Proportional to 579,875.92, 870,064.14 and 313,824.16

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Solution

The fourth proportional to 579,875.92, 870,064.14 and 313,824.16 is: 470,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,875.92 : 870,064.14 = 313,824.16 : x
  2. Step 2: Convert to fraction form
    579,875.92/870,064.14 = 313,824.16/x
  3. Step 3: Cross multiply
    579,875.92x = 870,064.14 × 313,824.16
  4. Step 4: Simplify right side
    579,875.92x = 273,047,147,881.62
  5. Step 5: Solve for x
    x = 273,047,147,881.62/579,875.92
  6. Step 6: Final answer
    x = 470,871.68

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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.