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Finding the Fourth Proportional to 500,258.94, 750,409.24 and 145,273.02

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Solution

The fourth proportional to 500,258.94, 750,409.24 and 145,273.02 is: 217,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,258.94 : 750,409.24 = 145,273.02 : x
  2. Step 2: Convert to fraction form
    500,258.94/750,409.24 = 145,273.02/x
  3. Step 3: Cross multiply
    500,258.94x = 750,409.24 × 145,273.02
  4. Step 4: Simplify right side
    500,258.94x = 109,014,216,530.71
  5. Step 5: Solve for x
    x = 109,014,216,530.71/500,258.94
  6. Step 6: Final answer
    x = 217,915.58

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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.