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Finding the Fourth Proportional to 421,457.70, 630,631.35 and 384,132.90

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Solution

The fourth proportional to 421,457.70, 630,631.35 and 384,132.90 is: 574,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,457.70 : 630,631.35 = 384,132.90 : x
  2. Step 2: Convert to fraction form
    421,457.70/630,631.35 = 384,132.90/x
  3. Step 3: Cross multiply
    421,457.70x = 630,631.35 × 384,132.90
  4. Step 4: Simplify right side
    421,457.70x = 242,246,249,306.42
  5. Step 5: Solve for x
    x = 242,246,249,306.42/421,457.70
  6. Step 6: Final answer
    x = 574,781.88

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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.