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Finding the Fourth Proportional to 517,055.49, 713,448.95 and 287,582.49

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Solution

The fourth proportional to 517,055.49, 713,448.95 and 287,582.49 is: 396,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,055.49 : 713,448.95 = 287,582.49 : x
  2. Step 2: Convert to fraction form
    517,055.49/713,448.95 = 287,582.49/x
  3. Step 3: Cross multiply
    517,055.49x = 713,448.95 × 287,582.49
  4. Step 4: Simplify right side
    517,055.49x = 205,175,424,090.97
  5. Step 5: Solve for x
    x = 205,175,424,090.97/517,055.49
  6. Step 6: Final answer
    x = 396,815.10

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1.5x scale

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.