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Finding the Fourth Proportional to 459,730.84, 688,121.24 and 245,964

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Solution

The fourth proportional to 459,730.84, 688,121.24 and 245,964 is: 368,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,730.84 : 688,121.24 = 245,964 : x
  2. Step 2: Convert to fraction form
    459,730.84/688,121.24 = 245,964/x
  3. Step 3: Cross multiply
    459,730.84x = 688,121.24 × 245,964
  4. Step 4: Simplify right side
    459,730.84x = 169,253,052,675.36
  5. Step 5: Solve for x
    x = 169,253,052,675.36/459,730.84
  6. Step 6: Final answer
    x = 368,156.84

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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.