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Finding the Fourth Proportional to 553,084.09, 829,884.45 and 286,699.25

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Solution

The fourth proportional to 553,084.09, 829,884.45 and 286,699.25 is: 430,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,084.09 : 829,884.45 = 286,699.25 : x
  2. Step 2: Convert to fraction form
    553,084.09/829,884.45 = 286,699.25/x
  3. Step 3: Cross multiply
    553,084.09x = 829,884.45 × 286,699.25
  4. Step 4: Simplify right side
    553,084.09x = 237,927,252,551.50
  5. Step 5: Solve for x
    x = 237,927,252,551.50/553,084.09
  6. Step 6: Final answer
    x = 430,182.78

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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.