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Finding the Fourth Proportional to 496,166, 684,688.40 and 281,320.58

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Solution

The fourth proportional to 496,166, 684,688.40 and 281,320.58 is: 388,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,166 : 684,688.40 = 281,320.58 : x
  2. Step 2: Convert to fraction form
    496,166/684,688.40 = 281,320.58/x
  3. Step 3: Cross multiply
    496,166x = 684,688.40 × 281,320.58
  4. Step 4: Simplify right side
    496,166x = 192,616,937,807.27
  5. Step 5: Solve for x
    x = 192,616,937,807.27/496,166
  6. Step 6: Final answer
    x = 388,210.68

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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.