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Finding the Fourth Proportional to 389,398.24, 584,009.28 and 178,833.76

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Solution

The fourth proportional to 389,398.24, 584,009.28 and 178,833.76 is: 268,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,398.24 : 584,009.28 = 178,833.76 : x
  2. Step 2: Convert to fraction form
    389,398.24/584,009.28 = 178,833.76/x
  3. Step 3: Cross multiply
    389,398.24x = 584,009.28 × 178,833.76
  4. Step 4: Simplify right side
    389,398.24x = 104,440,575,417.29
  5. Step 5: Solve for x
    x = 104,440,575,417.29/389,398.24
  6. Step 6: Final answer
    x = 268,210.19

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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.