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Finding the Fourth Proportional to 402,078.64, 554,869.02 and 220,802.26

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Solution

The fourth proportional to 402,078.64, 554,869.02 and 220,802.26 is: 304,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,078.64 : 554,869.02 = 220,802.26 : x
  2. Step 2: Convert to fraction form
    402,078.64/554,869.02 = 220,802.26/x
  3. Step 3: Cross multiply
    402,078.64x = 554,869.02 × 220,802.26
  4. Step 4: Simplify right side
    402,078.64x = 122,516,333,619.99
  5. Step 5: Solve for x
    x = 122,516,333,619.99/402,078.64
  6. Step 6: Final answer
    x = 304,707.39

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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.