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Finding the Fourth Proportional to 631,288.95, 870,052.15 and 477,959.76

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Solution

The fourth proportional to 631,288.95, 870,052.15 and 477,959.76 is: 658,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,288.95 : 870,052.15 = 477,959.76 : x
  2. Step 2: Convert to fraction form
    631,288.95/870,052.15 = 477,959.76/x
  3. Step 3: Cross multiply
    631,288.95x = 870,052.15 × 477,959.76
  4. Step 4: Simplify right side
    631,288.95x = 415,849,916,801.48
  5. Step 5: Solve for x
    x = 415,849,916,801.48/631,288.95
  6. Step 6: Final answer
    x = 658,731.50

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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.