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Finding the Fourth Proportional to 287,598.70, 431,398.05 and 110,014.30

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Solution

The fourth proportional to 287,598.70, 431,398.05 and 110,014.30 is: 165,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,598.70 : 431,398.05 = 110,014.30 : x
  2. Step 2: Convert to fraction form
    287,598.70/431,398.05 = 110,014.30/x
  3. Step 3: Cross multiply
    287,598.70x = 431,398.05 × 110,014.30
  4. Step 4: Simplify right side
    287,598.70x = 47,459,954,492.12
  5. Step 5: Solve for x
    x = 47,459,954,492.12/287,598.70
  6. Step 6: Final answer
    x = 165,021.45

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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.