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Finding the Fourth Proportional to 501,368.84, 691,977.30 and 297,532.20

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Solution

The fourth proportional to 501,368.84, 691,977.30 and 297,532.20 is: 410,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,368.84 : 691,977.30 = 297,532.20 : x
  2. Step 2: Convert to fraction form
    501,368.84/691,977.30 = 297,532.20/x
  3. Step 3: Cross multiply
    501,368.84x = 691,977.30 × 297,532.20
  4. Step 4: Simplify right side
    501,368.84x = 205,885,528,419.06
  5. Step 5: Solve for x
    x = 205,885,528,419.06/501,368.84
  6. Step 6: Final answer
    x = 410,646.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.