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Finding the Fourth Proportional to 525,329.80, 787,703.10 and 209,429.80

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Solution

The fourth proportional to 525,329.80, 787,703.10 and 209,429.80 is: 314,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,329.80 : 787,703.10 = 209,429.80 : x
  2. Step 2: Convert to fraction form
    525,329.80/787,703.10 = 209,429.80/x
  3. Step 3: Cross multiply
    525,329.80x = 787,703.10 × 209,429.80
  4. Step 4: Simplify right side
    525,329.80x = 164,968,502,692.38
  5. Step 5: Solve for x
    x = 164,968,502,692.38/525,329.80
  6. Step 6: Final answer
    x = 314,028.45

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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.