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Finding the Fourth Proportional to 388,461.84, 536,068.89 and 216,379.14

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Solution

The fourth proportional to 388,461.84, 536,068.89 and 216,379.14 is: 298,598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,461.84 : 536,068.89 = 216,379.14 : x
  2. Step 2: Convert to fraction form
    388,461.84/536,068.89 = 216,379.14/x
  3. Step 3: Cross multiply
    388,461.84x = 536,068.89 × 216,379.14
  4. Step 4: Simplify right side
    388,461.84x = 115,994,125,398.96
  5. Step 5: Solve for x
    x = 115,994,125,398.96/388,461.84
  6. Step 6: Final answer
    x = 298,598.51

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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.