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Finding the Fourth Proportional to 507,389.68, 761,084.00 and 207,870.80

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Solution

The fourth proportional to 507,389.68, 761,084.00 and 207,870.80 is: 311,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,389.68 : 761,084.00 = 207,870.80 : x
  2. Step 2: Convert to fraction form
    507,389.68/761,084.00 = 207,870.80/x
  3. Step 3: Cross multiply
    507,389.68x = 761,084.00 × 207,870.80
  4. Step 4: Simplify right side
    507,389.68x = 158,207,138,022.49
  5. Step 5: Solve for x
    x = 158,207,138,022.49/507,389.68
  6. Step 6: Final answer
    x = 311,805.98

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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.