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Finding the Fourth Proportional to 507,535.28, 761,227.71 and 307,802.03

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Solution

The fourth proportional to 507,535.28, 761,227.71 and 307,802.03 is: 461,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,535.28 : 761,227.71 = 307,802.03 : x
  2. Step 2: Convert to fraction form
    507,535.28/761,227.71 = 307,802.03/x
  3. Step 3: Cross multiply
    507,535.28x = 761,227.71 × 307,802.03
  4. Step 4: Simplify right side
    507,535.28x = 234,307,430,624.11
  5. Step 5: Solve for x
    x = 234,307,430,624.11/507,535.28
  6. Step 6: Final answer
    x = 461,657.43

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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.