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Finding the Fourth Proportional to 576,413.80, 864,620.70 and 506,429.80

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Solution

The fourth proportional to 576,413.80, 864,620.70 and 506,429.80 is: 759,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,413.80 : 864,620.70 = 506,429.80 : x
  2. Step 2: Convert to fraction form
    576,413.80/864,620.70 = 506,429.80/x
  3. Step 3: Cross multiply
    576,413.80x = 864,620.70 × 506,429.80
  4. Step 4: Simplify right side
    576,413.80x = 437,869,688,176.86
  5. Step 5: Solve for x
    x = 437,869,688,176.86/576,413.80
  6. Step 6: Final answer
    x = 759,644.70

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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.