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Finding the Fourth Proportional to 520,730.40, 779,281.20 and 310,519.20

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Solution

The fourth proportional to 520,730.40, 779,281.20 and 310,519.20 is: 464,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,730.40 : 779,281.20 = 310,519.20 : x
  2. Step 2: Convert to fraction form
    520,730.40/779,281.20 = 310,519.20/x
  3. Step 3: Cross multiply
    520,730.40x = 779,281.20 × 310,519.20
  4. Step 4: Simplify right side
    520,730.40x = 241,981,774,799.04
  5. Step 5: Solve for x
    x = 241,981,774,799.04/520,730.40
  6. Step 6: Final answer
    x = 464,696.85

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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.