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Finding the Fourth Proportional to 281,460.81, 388,413 and 152,397.06

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Solution

The fourth proportional to 281,460.81, 388,413 and 152,397.06 is: 210,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,460.81 : 388,413 = 152,397.06 : x
  2. Step 2: Convert to fraction form
    281,460.81/388,413 = 152,397.06/x
  3. Step 3: Cross multiply
    281,460.81x = 388,413 × 152,397.06
  4. Step 4: Simplify right side
    281,460.81x = 59,192,999,265.78
  5. Step 5: Solve for x
    x = 59,192,999,265.78/281,460.81
  6. Step 6: Final answer
    x = 210,306.36

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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.