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Finding the Fourth Proportional to 369,853.83, 510,402.47 and 208,710.81

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Solution

The fourth proportional to 369,853.83, 510,402.47 and 208,710.81 is: 288,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,853.83 : 510,402.47 = 208,710.81 : x
  2. Step 2: Convert to fraction form
    369,853.83/510,402.47 = 208,710.81/x
  3. Step 3: Cross multiply
    369,853.83x = 510,402.47 × 208,710.81
  4. Step 4: Simplify right side
    369,853.83x = 106,526,511,896.15
  5. Step 5: Solve for x
    x = 106,526,511,896.15/369,853.83
  6. Step 6: Final answer
    x = 288,023.28

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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.