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Finding the Fourth Proportional to 315,483.24, 435,204.82 and 208,014.06

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Solution

The fourth proportional to 315,483.24, 435,204.82 and 208,014.06 is: 286,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,483.24 : 435,204.82 = 208,014.06 : x
  2. Step 2: Convert to fraction form
    315,483.24/435,204.82 = 208,014.06/x
  3. Step 3: Cross multiply
    315,483.24x = 435,204.82 × 208,014.06
  4. Step 4: Simplify right side
    315,483.24x = 90,528,721,539.77
  5. Step 5: Solve for x
    x = 90,528,721,539.77/315,483.24
  6. Step 6: Final answer
    x = 286,952.55

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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.