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Finding the Fourth Proportional to 507,577.71, 761,462.70 and 203,995.47

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Solution

The fourth proportional to 507,577.71, 761,462.70 and 203,995.47 is: 306,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,577.71 : 761,462.70 = 203,995.47 : x
  2. Step 2: Convert to fraction form
    507,577.71/761,462.70 = 203,995.47/x
  3. Step 3: Cross multiply
    507,577.71x = 761,462.70 × 203,995.47
  4. Step 4: Simplify right side
    507,577.71x = 155,334,941,373.97
  5. Step 5: Solve for x
    x = 155,334,941,373.97/507,577.71
  6. Step 6: Final answer
    x = 306,031.84

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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.