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Finding the Fourth Proportional to 564,073.50, 778,421.43 and 309,425.31

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Solution

The fourth proportional to 564,073.50, 778,421.43 and 309,425.31 is: 427,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,073.50 : 778,421.43 = 309,425.31 : x
  2. Step 2: Convert to fraction form
    564,073.50/778,421.43 = 309,425.31/x
  3. Step 3: Cross multiply
    564,073.50x = 778,421.43 × 309,425.31
  4. Step 4: Simplify right side
    564,073.50x = 240,863,292,288.39
  5. Step 5: Solve for x
    x = 240,863,292,288.39/564,073.50
  6. Step 6: Final answer
    x = 427,006.93

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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.