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Finding the Fourth Proportional to 710,259.50, 980,187.36 and 408,453.50

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Solution

The fourth proportional to 710,259.50, 980,187.36 and 408,453.50 is: 563,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,259.50 : 980,187.36 = 408,453.50 : x
  2. Step 2: Convert to fraction form
    710,259.50/980,187.36 = 408,453.50/x
  3. Step 3: Cross multiply
    710,259.50x = 980,187.36 × 408,453.50
  4. Step 4: Simplify right side
    710,259.50x = 400,360,957,847.76
  5. Step 5: Solve for x
    x = 400,360,957,847.76/710,259.50
  6. Step 6: Final answer
    x = 563,682.65

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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.