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Finding the Fourth Proportional to 495,812.80, 684,363.54 and 291,981.96

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Solution

The fourth proportional to 495,812.80, 684,363.54 and 291,981.96 is: 403,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,812.80 : 684,363.54 = 291,981.96 : x
  2. Step 2: Convert to fraction form
    495,812.80/684,363.54 = 291,981.96/x
  3. Step 3: Cross multiply
    495,812.80x = 684,363.54 × 291,981.96
  4. Step 4: Simplify right side
    495,812.80x = 199,821,807,761.74
  5. Step 5: Solve for x
    x = 199,821,807,761.74/495,812.80
  6. Step 6: Final answer
    x = 403,018.66

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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.