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Finding the Fourth Proportional to 495,212.88, 742,720.90 and 242,384.75

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Solution

The fourth proportional to 495,212.88, 742,720.90 and 242,384.75 is: 363,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,212.88 : 742,720.90 = 242,384.75 : x
  2. Step 2: Convert to fraction form
    495,212.88/742,720.90 = 242,384.75/x
  3. Step 3: Cross multiply
    495,212.88x = 742,720.90 × 242,384.75
  4. Step 4: Simplify right side
    495,212.88x = 180,024,219,666.28
  5. Step 5: Solve for x
    x = 180,024,219,666.28/495,212.88
  6. Step 6: Final answer
    x = 363,528.95

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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.