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Finding the Fourth Proportional to 503,802.14, 696,132.20 and 402,662.23

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Solution

The fourth proportional to 503,802.14, 696,132.20 and 402,662.23 is: 556,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,802.14 : 696,132.20 = 402,662.23 : x
  2. Step 2: Convert to fraction form
    503,802.14/696,132.20 = 402,662.23/x
  3. Step 3: Cross multiply
    503,802.14x = 696,132.20 × 402,662.23
  4. Step 4: Simplify right side
    503,802.14x = 280,306,143,293.13
  5. Step 5: Solve for x
    x = 280,306,143,293.13/503,802.14
  6. Step 6: Final answer
    x = 556,381.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.