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Finding the Fourth Proportional to 1,310,811.22, 1,966,688.74 and 458,008.32

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Solution

The fourth proportional to 1,310,811.22, 1,966,688.74 and 458,008.32 is: 687,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,811.22 : 1,966,688.74 = 458,008.32 : x
  2. Step 2: Convert to fraction form
    1,310,811.22/1,966,688.74 = 458,008.32/x
  3. Step 3: Cross multiply
    1,310,811.22x = 1,966,688.74 × 458,008.32
  4. Step 4: Simplify right side
    1,310,811.22x = 900,759,813,717.91
  5. Step 5: Solve for x
    x = 900,759,813,717.91/1,310,811.22
  6. Step 6: Final answer
    x = 687,177.37

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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.