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Finding the Fourth Proportional to 281,503.04, 388,466.76 and 160,642.16

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Solution

The fourth proportional to 281,503.04, 388,466.76 and 160,642.16 is: 221,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,503.04 : 388,466.76 = 160,642.16 : x
  2. Step 2: Convert to fraction form
    281,503.04/388,466.76 = 160,642.16/x
  3. Step 3: Cross multiply
    281,503.04x = 388,466.76 × 160,642.16
  4. Step 4: Simplify right side
    281,503.04x = 62,404,139,414.60
  5. Step 5: Solve for x
    x = 62,404,139,414.60/281,503.04
  6. Step 6: Final answer
    x = 221,681.94

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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.