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Finding the Fourth Proportional to 386,176.40, 579,264.60 and 260,205.20

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Solution

The fourth proportional to 386,176.40, 579,264.60 and 260,205.20 is: 390,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,176.40 : 579,264.60 = 260,205.20 : x
  2. Step 2: Convert to fraction form
    386,176.40/579,264.60 = 260,205.20/x
  3. Step 3: Cross multiply
    386,176.40x = 579,264.60 × 260,205.20
  4. Step 4: Simplify right side
    386,176.40x = 150,727,661,095.92
  5. Step 5: Solve for x
    x = 150,727,661,095.92/386,176.40
  6. Step 6: Final answer
    x = 390,307.80

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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.