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Finding the Fourth Proportional to 553,817.10, 830,069.55 and 413,411.70

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Solution

The fourth proportional to 553,817.10, 830,069.55 and 413,411.70 is: 619,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,817.10 : 830,069.55 = 413,411.70 : x
  2. Step 2: Convert to fraction form
    553,817.10/830,069.55 = 413,411.70/x
  3. Step 3: Cross multiply
    553,817.10x = 830,069.55 × 413,411.70
  4. Step 4: Simplify right side
    553,817.10x = 343,160,463,783.74
  5. Step 5: Solve for x
    x = 343,160,463,783.74/553,817.10
  6. Step 6: Final answer
    x = 619,627.79

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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.