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Finding the Fourth Proportional to 553,800.94, 830,689.46 and 154,431.08

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Solution

The fourth proportional to 553,800.94, 830,689.46 and 154,431.08 is: 231,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,800.94 : 830,689.46 = 154,431.08 : x
  2. Step 2: Convert to fraction form
    553,800.94/830,689.46 = 154,431.08/x
  3. Step 3: Cross multiply
    553,800.94x = 830,689.46 × 154,431.08
  4. Step 4: Simplify right side
    553,800.94x = 128,284,270,452.42
  5. Step 5: Solve for x
    x = 128,284,270,452.42/553,800.94
  6. Step 6: Final answer
    x = 231,643.29

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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.