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Finding the Fourth Proportional to 553,553.40, 830,475.90 and 198,530.40

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Solution

The fourth proportional to 553,553.40, 830,475.90 and 198,530.40 is: 297,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,553.40 : 830,475.90 = 198,530.40 : x
  2. Step 2: Convert to fraction form
    553,553.40/830,475.90 = 198,530.40/x
  3. Step 3: Cross multiply
    553,553.40x = 830,475.90 × 198,530.40
  4. Step 4: Simplify right side
    553,553.40x = 164,874,712,617.36
  5. Step 5: Solve for x
    x = 164,874,712,617.36/553,553.40
  6. Step 6: Final answer
    x = 297,847.89

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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.