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Finding the Fourth Proportional to 553,079.16, 829,618.74 and 198,342.29

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Solution

The fourth proportional to 553,079.16, 829,618.74 and 198,342.29 is: 297,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,079.16 : 829,618.74 = 198,342.29 : x
  2. Step 2: Convert to fraction form
    553,079.16/829,618.74 = 198,342.29/x
  3. Step 3: Cross multiply
    553,079.16x = 829,618.74 × 198,342.29
  4. Step 4: Simplify right side
    553,079.16x = 164,548,480,718.52
  5. Step 5: Solve for x
    x = 164,548,480,718.52/553,079.16
  6. Step 6: Final answer
    x = 297,513.44

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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.