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Finding the Fourth Proportional to 420,688.40, 629,720.40 and 302,590.40

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Solution

The fourth proportional to 420,688.40, 629,720.40 and 302,590.40 is: 452,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,688.40 : 629,720.40 = 302,590.40 : x
  2. Step 2: Convert to fraction form
    420,688.40/629,720.40 = 302,590.40/x
  3. Step 3: Cross multiply
    420,688.40x = 629,720.40 × 302,590.40
  4. Step 4: Simplify right side
    420,688.40x = 190,547,347,724.16
  5. Step 5: Solve for x
    x = 190,547,347,724.16/420,688.40
  6. Step 6: Final answer
    x = 452,941.77

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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.