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Finding the Fourth Proportional to 631,316.69, 870,959.12 and 466,140.52

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Solution

The fourth proportional to 631,316.69, 870,959.12 and 466,140.52 is: 643,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,316.69 : 870,959.12 = 466,140.52 : x
  2. Step 2: Convert to fraction form
    631,316.69/870,959.12 = 466,140.52/x
  3. Step 3: Cross multiply
    631,316.69x = 870,959.12 × 466,140.52
  4. Step 4: Simplify right side
    631,316.69x = 405,989,335,853.54
  5. Step 5: Solve for x
    x = 405,989,335,853.54/631,316.69
  6. Step 6: Final answer
    x = 643,083.48

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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.