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Finding the Fourth Proportional to 640,499.76, 883,935.54 and 354,013.74

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Solution

The fourth proportional to 640,499.76, 883,935.54 and 354,013.74 is: 488,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,499.76 : 883,935.54 = 354,013.74 : x
  2. Step 2: Convert to fraction form
    640,499.76/883,935.54 = 354,013.74/x
  3. Step 3: Cross multiply
    640,499.76x = 883,935.54 × 354,013.74
  4. Step 4: Simplify right side
    640,499.76x = 312,925,326,434.32
  5. Step 5: Solve for x
    x = 312,925,326,434.32/640,499.76
  6. Step 6: Final answer
    x = 488,564.31

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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.