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Finding the Fourth Proportional to 523,897.17, 785,850.62 and 208,434.57

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Solution

The fourth proportional to 523,897.17, 785,850.62 and 208,434.57 is: 312,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,897.17 : 785,850.62 = 208,434.57 : x
  2. Step 2: Convert to fraction form
    523,897.17/785,850.62 = 208,434.57/x
  3. Step 3: Cross multiply
    523,897.17x = 785,850.62 × 208,434.57
  4. Step 4: Simplify right side
    523,897.17x = 163,798,435,021.76
  5. Step 5: Solve for x
    x = 163,798,435,021.76/523,897.17
  6. Step 6: Final answer
    x = 312,653.79

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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.