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Finding the Fourth Proportional to 418,735.98, 628,271.91 and 152,514.90

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Solution

The fourth proportional to 418,735.98, 628,271.91 and 152,514.90 is: 228,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,735.98 : 628,271.91 = 152,514.90 : x
  2. Step 2: Convert to fraction form
    418,735.98/628,271.91 = 152,514.90/x
  3. Step 3: Cross multiply
    418,735.98x = 628,271.91 × 152,514.90
  4. Step 4: Simplify right side
    418,735.98x = 95,820,827,526.46
  5. Step 5: Solve for x
    x = 95,820,827,526.46/418,735.98
  6. Step 6: Final answer
    x = 228,833.52

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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.