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Finding the Fourth Proportional to 459,990.84, 689,752.92 and 210,459

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Solution

The fourth proportional to 459,990.84, 689,752.92 and 210,459 is: 315,581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,990.84 : 689,752.92 = 210,459 : x
  2. Step 2: Convert to fraction form
    459,990.84/689,752.92 = 210,459/x
  3. Step 3: Cross multiply
    459,990.84x = 689,752.92 × 210,459
  4. Step 4: Simplify right side
    459,990.84x = 145,164,709,790.28
  5. Step 5: Solve for x
    x = 145,164,709,790.28/459,990.84
  6. Step 6: Final answer
    x = 315,581.74

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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.