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Finding the Fourth Proportional to 520,398.94, 780,066.68 and 295,283.82

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Solution

The fourth proportional to 520,398.94, 780,066.68 and 295,283.82 is: 442,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,398.94 : 780,066.68 = 295,283.82 : x
  2. Step 2: Convert to fraction form
    520,398.94/780,066.68 = 295,283.82/x
  3. Step 3: Cross multiply
    520,398.94x = 780,066.68 × 295,283.82
  4. Step 4: Simplify right side
    520,398.94x = 230,341,069,125.12
  5. Step 5: Solve for x
    x = 230,341,069,125.12/520,398.94
  6. Step 6: Final answer
    x = 442,624.02

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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.