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Finding the Fourth Proportional to 523,643.40, 785,576.70 and 299,111.40

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Solution

The fourth proportional to 523,643.40, 785,576.70 and 299,111.40 is: 448,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,643.40 : 785,576.70 = 299,111.40 : x
  2. Step 2: Convert to fraction form
    523,643.40/785,576.70 = 299,111.40/x
  3. Step 3: Cross multiply
    523,643.40x = 785,576.70 × 299,111.40
  4. Step 4: Simplify right side
    523,643.40x = 234,974,946,544.38
  5. Step 5: Solve for x
    x = 234,974,946,544.38/523,643.40
  6. Step 6: Final answer
    x = 448,730.85

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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.