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Finding the Fourth Proportional to 835,821, 1,153,432.98 and 478,125

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Solution

The fourth proportional to 835,821, 1,153,432.98 and 478,125 is: 659,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,821 : 1,153,432.98 = 478,125 : x
  2. Step 2: Convert to fraction form
    835,821/1,153,432.98 = 478,125/x
  3. Step 3: Cross multiply
    835,821x = 1,153,432.98 × 478,125
  4. Step 4: Simplify right side
    835,821x = 551,485,143,562.50
  5. Step 5: Solve for x
    x = 551,485,143,562.50/835,821
  6. Step 6: Final answer
    x = 659,812.50

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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.