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Finding the Fourth Proportional to 564,002.14, 778,318.71 and 309,351.52

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Solution

The fourth proportional to 564,002.14, 778,318.71 and 309,351.52 is: 426,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,002.14 : 778,318.71 = 309,351.52 : x
  2. Step 2: Convert to fraction form
    564,002.14/778,318.71 = 309,351.52/x
  3. Step 3: Cross multiply
    564,002.14x = 778,318.71 × 309,351.52
  4. Step 4: Simplify right side
    564,002.14x = 240,774,075,982.94
  5. Step 5: Solve for x
    x = 240,774,075,982.94/564,002.14
  6. Step 6: Final answer
    x = 426,902.77

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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.