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Finding the Fourth Proportional to 495,032.86, 683,028.26 and 280,172.93

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Solution

The fourth proportional to 495,032.86, 683,028.26 and 280,172.93 is: 386,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,032.86 : 683,028.26 = 280,172.93 : x
  2. Step 2: Convert to fraction form
    495,032.86/683,028.26 = 280,172.93/x
  3. Step 3: Cross multiply
    495,032.86x = 683,028.26 × 280,172.93
  4. Step 4: Simplify right side
    495,032.86x = 191,366,024,061.00
  5. Step 5: Solve for x
    x = 191,366,024,061.00/495,032.86
  6. Step 6: Final answer
    x = 386,572.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.