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Finding the Fourth Proportional to 288,045.60, 431,703.90 and 110,315.40

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Solution

The fourth proportional to 288,045.60, 431,703.90 and 110,315.40 is: 165,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,045.60 : 431,703.90 = 110,315.40 : x
  2. Step 2: Convert to fraction form
    288,045.60/431,703.90 = 110,315.40/x
  3. Step 3: Cross multiply
    288,045.60x = 431,703.90 × 110,315.40
  4. Step 4: Simplify right side
    288,045.60x = 47,623,588,410.06
  5. Step 5: Solve for x
    x = 47,623,588,410.06/288,045.60
  6. Step 6: Final answer
    x = 165,333.50

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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.