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Finding the Fourth Proportional to 358,646.60, 538,040.78 and 105,931.48

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Solution

The fourth proportional to 358,646.60, 538,040.78 and 105,931.48 is: 158,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,646.60 : 538,040.78 = 105,931.48 : x
  2. Step 2: Convert to fraction form
    358,646.60/538,040.78 = 105,931.48/x
  3. Step 3: Cross multiply
    358,646.60x = 538,040.78 × 105,931.48
  4. Step 4: Simplify right side
    358,646.60x = 56,995,456,125.75
  5. Step 5: Solve for x
    x = 56,995,456,125.75/358,646.60
  6. Step 6: Final answer
    x = 158,918.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.