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Finding the Fourth Proportional to 472,459.75, 708,689.64 and 140,035.75

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Solution

The fourth proportional to 472,459.75, 708,689.64 and 140,035.75 is: 210,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,459.75 : 708,689.64 = 140,035.75 : x
  2. Step 2: Convert to fraction form
    472,459.75/708,689.64 = 140,035.75/x
  3. Step 3: Cross multiply
    472,459.75x = 708,689.64 × 140,035.75
  4. Step 4: Simplify right side
    472,459.75x = 99,241,885,254.63
  5. Step 5: Solve for x
    x = 99,241,885,254.63/472,459.75
  6. Step 6: Final answer
    x = 210,053.63

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Similar ratio
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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.