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Finding the Fourth Proportional to 585,934.80, 879,485.40 and 286,753.20

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Solution

The fourth proportional to 585,934.80, 879,485.40 and 286,753.20 is: 430,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,934.80 : 879,485.40 = 286,753.20 : x
  2. Step 2: Convert to fraction form
    585,934.80/879,485.40 = 286,753.20/x
  3. Step 3: Cross multiply
    585,934.80x = 879,485.40 × 286,753.20
  4. Step 4: Simplify right side
    585,934.80x = 252,195,252,803.28
  5. Step 5: Solve for x
    x = 252,195,252,803.28/585,934.80
  6. Step 6: Final answer
    x = 430,415.21

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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.