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Finding the Fourth Proportional to 281,602.39, 388,608.06 and 152,538.40

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Solution

The fourth proportional to 281,602.39, 388,608.06 and 152,538.40 is: 210,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,602.39 : 388,608.06 = 152,538.40 : x
  2. Step 2: Convert to fraction form
    281,602.39/388,608.06 = 152,538.40/x
  3. Step 3: Cross multiply
    281,602.39x = 388,608.06 × 152,538.40
  4. Step 4: Simplify right side
    281,602.39x = 59,277,651,699.50
  5. Step 5: Solve for x
    x = 59,277,651,699.50/281,602.39
  6. Step 6: Final answer
    x = 210,501.24

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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.