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Finding the Fourth Proportional to 498,735.02, 688,258.72 and 283,888.91

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Solution

The fourth proportional to 498,735.02, 688,258.72 and 283,888.91 is: 391,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,735.02 : 688,258.72 = 283,888.91 : x
  2. Step 2: Convert to fraction form
    498,735.02/688,258.72 = 283,888.91/x
  3. Step 3: Cross multiply
    498,735.02x = 688,258.72 × 283,888.91
  4. Step 4: Simplify right side
    498,735.02x = 195,389,017,818.80
  5. Step 5: Solve for x
    x = 195,389,017,818.80/498,735.02
  6. Step 6: Final answer
    x = 391,769.20

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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.