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Finding the Fourth Proportional to 287,290.25, 430,935.38 and 90,298.25

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Solution

The fourth proportional to 287,290.25, 430,935.38 and 90,298.25 is: 135,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,290.25 : 430,935.38 = 90,298.25 : x
  2. Step 2: Convert to fraction form
    287,290.25/430,935.38 = 90,298.25/x
  3. Step 3: Cross multiply
    287,290.25x = 430,935.38 × 90,298.25
  4. Step 4: Simplify right side
    287,290.25x = 38,912,710,677.09
  5. Step 5: Solve for x
    x = 38,912,710,677.09/287,290.25
  6. Step 6: Final answer
    x = 135,447.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.