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Finding the Fourth Proportional to 564,036, 778,369.68 and 309,387.78

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Solution

The fourth proportional to 564,036, 778,369.68 and 309,387.78 is: 426,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,036 : 778,369.68 = 309,387.78 : x
  2. Step 2: Convert to fraction form
    564,036/778,369.68 = 309,387.78/x
  3. Step 3: Cross multiply
    564,036x = 778,369.68 × 309,387.78
  4. Step 4: Simplify right side
    564,036x = 240,818,067,314.51
  5. Step 5: Solve for x
    x = 240,818,067,314.51/564,036
  6. Step 6: Final answer
    x = 426,955.14

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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.