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Finding the Fourth Proportional to 358,846.94, 537,868.10 and 145,565.30

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Solution

The fourth proportional to 358,846.94, 537,868.10 and 145,565.30 is: 218,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,846.94 : 537,868.10 = 145,565.30 : x
  2. Step 2: Convert to fraction form
    358,846.94/537,868.10 = 145,565.30/x
  3. Step 3: Cross multiply
    358,846.94x = 537,868.10 × 145,565.30
  4. Step 4: Simplify right side
    358,846.94x = 78,294,931,336.93
  5. Step 5: Solve for x
    x = 78,294,931,336.93/358,846.94
  6. Step 6: Final answer
    x = 218,184.75

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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.