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Finding the Fourth Proportional to 710,254.50, 980,180.46 and 408,448.50

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Solution

The fourth proportional to 710,254.50, 980,180.46 and 408,448.50 is: 563,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,254.50 : 980,180.46 = 408,448.50 : x
  2. Step 2: Convert to fraction form
    710,254.50/980,180.46 = 408,448.50/x
  3. Step 3: Cross multiply
    710,254.50x = 980,180.46 × 408,448.50
  4. Step 4: Simplify right side
    710,254.50x = 400,353,238,616.31
  5. Step 5: Solve for x
    x = 400,353,238,616.31/710,254.50
  6. Step 6: Final answer
    x = 563,675.75

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1.5x scale

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.