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Finding the Fourth Proportional to 457,353.70, 686,030.55 and 208,035.70

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Solution

The fourth proportional to 457,353.70, 686,030.55 and 208,035.70 is: 312,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,353.70 : 686,030.55 = 208,035.70 : x
  2. Step 2: Convert to fraction form
    457,353.70/686,030.55 = 208,035.70/x
  3. Step 3: Cross multiply
    457,353.70x = 686,030.55 × 208,035.70
  4. Step 4: Simplify right side
    457,353.70x = 142,718,845,690.64
  5. Step 5: Solve for x
    x = 142,718,845,690.64/457,353.70
  6. Step 6: Final answer
    x = 312,053.55

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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.