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Finding the Fourth Proportional to 287,459.34, 431,284.98 and 127,513.21

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Solution

The fourth proportional to 287,459.34, 431,284.98 and 127,513.21 is: 191,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,459.34 : 431,284.98 = 127,513.21 : x
  2. Step 2: Convert to fraction form
    287,459.34/431,284.98 = 127,513.21/x
  3. Step 3: Cross multiply
    287,459.34x = 431,284.98 × 127,513.21
  4. Step 4: Simplify right side
    287,459.34x = 54,994,530,827.59
  5. Step 5: Solve for x
    x = 54,994,530,827.59/287,459.34
  6. Step 6: Final answer
    x = 191,312.38

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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.