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Finding the Fourth Proportional to 499,146.84, 688,807.26 and 284,317.56

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Solution

The fourth proportional to 499,146.84, 688,807.26 and 284,317.56 is: 392,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,146.84 : 688,807.26 = 284,317.56 : x
  2. Step 2: Convert to fraction form
    499,146.84/688,807.26 = 284,317.56/x
  3. Step 3: Cross multiply
    499,146.84x = 688,807.26 × 284,317.56
  4. Step 4: Simplify right side
    499,146.84x = 195,839,999,473.49
  5. Step 5: Solve for x
    x = 195,839,999,473.49/499,146.84
  6. Step 6: Final answer
    x = 392,349.47

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1.5x scale

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.