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Finding the Fourth Proportional to 509,363.24, 702,925.44 and 318,487.28

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Solution

The fourth proportional to 509,363.24, 702,925.44 and 318,487.28 is: 439,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,363.24 : 702,925.44 = 318,487.28 : x
  2. Step 2: Convert to fraction form
    509,363.24/702,925.44 = 318,487.28/x
  3. Step 3: Cross multiply
    509,363.24x = 702,925.44 × 318,487.28
  4. Step 4: Simplify right side
    509,363.24x = 223,872,811,428.40
  5. Step 5: Solve for x
    x = 223,872,811,428.40/509,363.24
  6. Step 6: Final answer
    x = 439,515.05

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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.