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Finding the Fourth Proportional to 576,413.40, 865,132.10 and 339,459.80

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Solution

The fourth proportional to 576,413.40, 865,132.10 and 339,459.80 is: 509,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,413.40 : 865,132.10 = 339,459.80 : x
  2. Step 2: Convert to fraction form
    576,413.40/865,132.10 = 339,459.80/x
  3. Step 3: Cross multiply
    576,413.40x = 865,132.10 × 339,459.80
  4. Step 4: Simplify right side
    576,413.40x = 293,677,569,639.58
  5. Step 5: Solve for x
    x = 293,677,569,639.58/576,413.40
  6. Step 6: Final answer
    x = 509,491.23

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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.