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Finding the Fourth Proportional to 640,159.76, 883,030.06 and 410,639.78

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Solution

The fourth proportional to 640,159.76, 883,030.06 and 410,639.78 is: 566,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,159.76 : 883,030.06 = 410,639.78 : x
  2. Step 2: Convert to fraction form
    640,159.76/883,030.06 = 410,639.78/x
  3. Step 3: Cross multiply
    640,159.76x = 883,030.06 × 410,639.78
  4. Step 4: Simplify right side
    640,159.76x = 362,607,269,571.79
  5. Step 5: Solve for x
    x = 362,607,269,571.79/640,159.76
  6. Step 6: Final answer
    x = 566,432.46

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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.