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Finding the Fourth Proportional to 378,423.31, 521,681.54 and 297,710.66

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Solution

The fourth proportional to 378,423.31, 521,681.54 and 297,710.66 is: 410,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,423.31 : 521,681.54 = 297,710.66 : x
  2. Step 2: Convert to fraction form
    378,423.31/521,681.54 = 297,710.66/x
  3. Step 3: Cross multiply
    378,423.31x = 521,681.54 × 297,710.66
  4. Step 4: Simplify right side
    378,423.31x = 155,310,152,974.81
  5. Step 5: Solve for x
    x = 155,310,152,974.81/378,423.31
  6. Step 6: Final answer
    x = 410,413.82

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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.