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Finding the Fourth Proportional to 497,243.61, 745,872.71 and 142,258.28

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Solution

The fourth proportional to 497,243.61, 745,872.71 and 142,258.28 is: 213,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,243.61 : 745,872.71 = 142,258.28 : x
  2. Step 2: Convert to fraction form
    497,243.61/745,872.71 = 142,258.28/x
  3. Step 3: Cross multiply
    497,243.61x = 745,872.71 × 142,258.28
  4. Step 4: Simplify right side
    497,243.61x = 106,106,564,382.88
  5. Step 5: Solve for x
    x = 106,106,564,382.88/497,243.61
  6. Step 6: Final answer
    x = 213,389.50

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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.