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Finding the Fourth Proportional to 507,614.20, 761,421.30 and 465,623.80

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Solution

The fourth proportional to 507,614.20, 761,421.30 and 465,623.80 is: 698,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,614.20 : 761,421.30 = 465,623.80 : x
  2. Step 2: Convert to fraction form
    507,614.20/761,421.30 = 465,623.80/x
  3. Step 3: Cross multiply
    507,614.20x = 761,421.30 × 465,623.80
  4. Step 4: Simplify right side
    507,614.20x = 354,535,879,106.94
  5. Step 5: Solve for x
    x = 354,535,879,106.94/507,614.20
  6. Step 6: Final answer
    x = 698,435.70

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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.