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Finding the Fourth Proportional to 835,776, 1,153,370.88 and 478,080

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Solution

The fourth proportional to 835,776, 1,153,370.88 and 478,080 is: 659,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,776 : 1,153,370.88 = 478,080 : x
  2. Step 2: Convert to fraction form
    835,776/1,153,370.88 = 478,080/x
  3. Step 3: Cross multiply
    835,776x = 1,153,370.88 × 478,080
  4. Step 4: Simplify right side
    835,776x = 551,403,550,310.40
  5. Step 5: Solve for x
    x = 551,403,550,310.40/835,776
  6. Step 6: Final answer
    x = 659,750.40

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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.