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Finding the Fourth Proportional to 508,318.40, 761,981.70 and 242,007.32

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Solution

The fourth proportional to 508,318.40, 761,981.70 and 242,007.32 is: 362,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,318.40 : 761,981.70 = 242,007.32 : x
  2. Step 2: Convert to fraction form
    508,318.40/761,981.70 = 242,007.32/x
  3. Step 3: Cross multiply
    508,318.40x = 761,981.70 × 242,007.32
  4. Step 4: Simplify right side
    508,318.40x = 184,405,149,106.04
  5. Step 5: Solve for x
    x = 184,405,149,106.04/508,318.40
  6. Step 6: Final answer
    x = 362,774.89

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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.