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Finding the Fourth Proportional to 835,833, 1,153,449.60 and 478,137

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Solution

The fourth proportional to 835,833, 1,153,449.60 and 478,137 is: 659,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,833 : 1,153,449.60 = 478,137 : x
  2. Step 2: Convert to fraction form
    835,833/1,153,449.60 = 478,137/x
  3. Step 3: Cross multiply
    835,833x = 1,153,449.60 × 478,137
  4. Step 4: Simplify right side
    835,833x = 551,506,931,395.20
  5. Step 5: Solve for x
    x = 551,506,931,395.20/835,833
  6. Step 6: Final answer
    x = 659,829.09

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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.