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Finding the Fourth Proportional to 688,095, 949,571.10 and 386,289

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Solution

The fourth proportional to 688,095, 949,571.10 and 386,289 is: 533,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,095 : 949,571.10 = 386,289 : x
  2. Step 2: Convert to fraction form
    688,095/949,571.10 = 386,289/x
  3. Step 3: Cross multiply
    688,095x = 949,571.10 × 386,289
  4. Step 4: Simplify right side
    688,095x = 366,808,870,647.90
  5. Step 5: Solve for x
    x = 366,808,870,647.90/688,095
  6. Step 6: Final answer
    x = 533,078.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.