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Finding the Fourth Proportional to 210,308.80, 314,944.80 and 139,806.40

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Solution

The fourth proportional to 210,308.80, 314,944.80 and 139,806.40 is: 209,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,308.80 : 314,944.80 = 139,806.40 : x
  2. Step 2: Convert to fraction form
    210,308.80/314,944.80 = 139,806.40/x
  3. Step 3: Cross multiply
    210,308.80x = 314,944.80 × 139,806.40
  4. Step 4: Simplify right side
    210,308.80x = 44,031,298,686.72
  5. Step 5: Solve for x
    x = 44,031,298,686.72/210,308.80
  6. Step 6: Final answer
    x = 209,364.98

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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.