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Finding the Fourth Proportional to 292,020.50, 402,988.10 and 164,695.80

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Solution

The fourth proportional to 292,020.50, 402,988.10 and 164,695.80 is: 227,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,020.50 : 402,988.10 = 164,695.80 : x
  2. Step 2: Convert to fraction form
    292,020.50/402,988.10 = 164,695.80/x
  3. Step 3: Cross multiply
    292,020.50x = 402,988.10 × 164,695.80
  4. Step 4: Simplify right side
    292,020.50x = 66,370,447,519.98
  5. Step 5: Solve for x
    x = 66,370,447,519.98/292,020.50
  6. Step 6: Final answer
    x = 227,280.10

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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.