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Finding the Fourth Proportional to 513,075.84, 769,613.76 and 139,089.12

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Solution

The fourth proportional to 513,075.84, 769,613.76 and 139,089.12 is: 208,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,075.84 : 769,613.76 = 139,089.12 : x
  2. Step 2: Convert to fraction form
    513,075.84/769,613.76 = 139,089.12/x
  3. Step 3: Cross multiply
    513,075.84x = 769,613.76 × 139,089.12
  4. Step 4: Simplify right side
    513,075.84x = 107,044,900,618.29
  5. Step 5: Solve for x
    x = 107,044,900,618.29/513,075.84
  6. Step 6: Final answer
    x = 208,633.68

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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.