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Finding the Fourth Proportional to 520,036.20, 778,499.10 and 309,565.80

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Solution

The fourth proportional to 520,036.20, 778,499.10 and 309,565.80 is: 463,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,036.20 : 778,499.10 = 309,565.80 : x
  2. Step 2: Convert to fraction form
    520,036.20/778,499.10 = 309,565.80/x
  3. Step 3: Cross multiply
    520,036.20x = 778,499.10 × 309,565.80
  4. Step 4: Simplify right side
    520,036.20x = 240,996,696,690.78
  5. Step 5: Solve for x
    x = 240,996,696,690.78/520,036.20
  6. Step 6: Final answer
    x = 463,422.92

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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.