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Finding the Fourth Proportional to 509,423.63, 702,711.87 and 318,104.87

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Solution

The fourth proportional to 509,423.63, 702,711.87 and 318,104.87 is: 438,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,423.63 : 702,711.87 = 318,104.87 : x
  2. Step 2: Convert to fraction form
    509,423.63/702,711.87 = 318,104.87/x
  3. Step 3: Cross multiply
    509,423.63x = 702,711.87 × 318,104.87
  4. Step 4: Simplify right side
    509,423.63x = 223,536,069,089.45
  5. Step 5: Solve for x
    x = 223,536,069,089.45/509,423.63
  6. Step 6: Final answer
    x = 438,801.92

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1.5x scale

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.