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Finding the Fourth Proportional to 507,676.98, 761,509.59 and 123,428.01

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Solution

The fourth proportional to 507,676.98, 761,509.59 and 123,428.01 is: 185,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,676.98 : 761,509.59 = 123,428.01 : x
  2. Step 2: Convert to fraction form
    507,676.98/761,509.59 = 123,428.01/x
  3. Step 3: Cross multiply
    507,676.98x = 761,509.59 × 123,428.01
  4. Step 4: Simplify right side
    507,676.98x = 93,991,609,482.07
  5. Step 5: Solve for x
    x = 93,991,609,482.07/507,676.98
  6. Step 6: Final answer
    x = 185,140.58

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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.