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Finding the Fourth Proportional to 285,216.84, 427,792.86 and 74,871.18

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Solution

The fourth proportional to 285,216.84, 427,792.86 and 74,871.18 is: 112,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,216.84 : 427,792.86 = 74,871.18 : x
  2. Step 2: Convert to fraction form
    285,216.84/427,792.86 = 74,871.18/x
  3. Step 3: Cross multiply
    285,216.84x = 427,792.86 × 74,871.18
  4. Step 4: Simplify right side
    285,216.84x = 32,029,356,223.77
  5. Step 5: Solve for x
    x = 32,029,356,223.77/285,216.84
  6. Step 6: Final answer
    x = 112,298.26

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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.