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Finding the Fourth Proportional to 507,613.95, 761,421.87 and 208,040.94

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Solution

The fourth proportional to 507,613.95, 761,421.87 and 208,040.94 is: 312,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,613.95 : 761,421.87 = 208,040.94 : x
  2. Step 2: Convert to fraction form
    507,613.95/761,421.87 = 208,040.94/x
  3. Step 3: Cross multiply
    507,613.95x = 761,421.87 × 208,040.94
  4. Step 4: Simplify right side
    507,613.95x = 158,406,921,571.36
  5. Step 5: Solve for x
    x = 158,406,921,571.36/507,613.95
  6. Step 6: Final answer
    x = 312,061.80

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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.