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Finding the Fourth Proportional to 543,062.64, 813,868.47 and 286,371.72

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Solution

The fourth proportional to 543,062.64, 813,868.47 and 286,371.72 is: 429,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,062.64 : 813,868.47 = 286,371.72 : x
  2. Step 2: Convert to fraction form
    543,062.64/813,868.47 = 286,371.72/x
  3. Step 3: Cross multiply
    543,062.64x = 813,868.47 × 286,371.72
  4. Step 4: Simplify right side
    543,062.64x = 233,068,913,607.67
  5. Step 5: Solve for x
    x = 233,068,913,607.67/543,062.64
  6. Step 6: Final answer
    x = 429,175.01

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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.