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Finding the Fourth Proportional to 651,601.28, 977,643.84 and 208,403.84

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Solution

The fourth proportional to 651,601.28, 977,643.84 and 208,403.84 is: 312,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,601.28 : 977,643.84 = 208,403.84 : x
  2. Step 2: Convert to fraction form
    651,601.28/977,643.84 = 208,403.84/x
  3. Step 3: Cross multiply
    651,601.28x = 977,643.84 × 208,403.84
  4. Step 4: Simplify right side
    651,601.28x = 203,744,730,408.35
  5. Step 5: Solve for x
    x = 203,744,730,408.35/651,601.28
  6. Step 6: Final answer
    x = 312,683.13

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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.