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Finding the Fourth Proportional to 426,258.40, 638,545.20 and 216,047.20

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Solution

The fourth proportional to 426,258.40, 638,545.20 and 216,047.20 is: 323,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,258.40 : 638,545.20 = 216,047.20 : x
  2. Step 2: Convert to fraction form
    426,258.40/638,545.20 = 216,047.20/x
  3. Step 3: Cross multiply
    426,258.40x = 638,545.20 × 216,047.20
  4. Step 4: Simplify right side
    426,258.40x = 137,955,902,533.44
  5. Step 5: Solve for x
    x = 137,955,902,533.44/426,258.40
  6. Step 6: Final answer
    x = 323,643.83

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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.