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Finding the Fourth Proportional to 420,287.40, 626,354.55 and 406,838.16

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Solution

The fourth proportional to 420,287.40, 626,354.55 and 406,838.16 is: 606,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,287.40 : 626,354.55 = 406,838.16 : x
  2. Step 2: Convert to fraction form
    420,287.40/626,354.55 = 406,838.16/x
  3. Step 3: Cross multiply
    420,287.40x = 626,354.55 × 406,838.16
  4. Step 4: Simplify right side
    420,287.40x = 254,824,932,629.63
  5. Step 5: Solve for x
    x = 254,824,932,629.63/420,287.40
  6. Step 6: Final answer
    x = 606,311.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.