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Finding the Fourth Proportional to 508,316.40, 761,978.70 and 242,005.32

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Solution

The fourth proportional to 508,316.40, 761,978.70 and 242,005.32 is: 362,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,316.40 : 761,978.70 = 242,005.32 : x
  2. Step 2: Convert to fraction form
    508,316.40/761,978.70 = 242,005.32/x
  3. Step 3: Cross multiply
    508,316.40x = 761,978.70 × 242,005.32
  4. Step 4: Simplify right side
    508,316.40x = 184,402,899,126.68
  5. Step 5: Solve for x
    x = 184,402,899,126.68/508,316.40
  6. Step 6: Final answer
    x = 362,771.89

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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.