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Finding the Fourth Proportional to 523,283, 785,041.50 and 190,859

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Solution

The fourth proportional to 523,283, 785,041.50 and 190,859 is: 286,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,283 : 785,041.50 = 190,859 : x
  2. Step 2: Convert to fraction form
    523,283/785,041.50 = 190,859/x
  3. Step 3: Cross multiply
    523,283x = 785,041.50 × 190,859
  4. Step 4: Simplify right side
    523,283x = 149,832,235,648.50
  5. Step 5: Solve for x
    x = 149,832,235,648.50/523,283
  6. Step 6: Final answer
    x = 286,331.17

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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.