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Finding the Fourth Proportional to 285,068.36, 427,482.10 and 85,417.04

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Solution

The fourth proportional to 285,068.36, 427,482.10 and 85,417.04 is: 128,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,068.36 : 427,482.10 = 85,417.04 : x
  2. Step 2: Convert to fraction form
    285,068.36/427,482.10 = 85,417.04/x
  3. Step 3: Cross multiply
    285,068.36x = 427,482.10 × 85,417.04
  4. Step 4: Simplify right side
    285,068.36x = 36,514,255,634.98
  5. Step 5: Solve for x
    x = 36,514,255,634.98/285,068.36
  6. Step 6: Final answer
    x = 128,089.47

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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.