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Finding the Fourth Proportional to 495,184.65, 742,274.47 and 281,511.15

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Solution

The fourth proportional to 495,184.65, 742,274.47 and 281,511.15 is: 421,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,184.65 : 742,274.47 = 281,511.15 : x
  2. Step 2: Convert to fraction form
    495,184.65/742,274.47 = 281,511.15/x
  3. Step 3: Cross multiply
    495,184.65x = 742,274.47 × 281,511.15
  4. Step 4: Simplify right side
    495,184.65x = 208,958,539,665.34
  5. Step 5: Solve for x
    x = 208,958,539,665.34/495,184.65
  6. Step 6: Final answer
    x = 421,981.05

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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.