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Finding the Fourth Proportional to 553,816.10, 830,068.05 and 413,410.70

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Solution

The fourth proportional to 553,816.10, 830,068.05 and 413,410.70 is: 619,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,816.10 : 830,068.05 = 413,410.70 : x
  2. Step 2: Convert to fraction form
    553,816.10/830,068.05 = 413,410.70/x
  3. Step 3: Cross multiply
    553,816.10x = 830,068.05 × 413,410.70
  4. Step 4: Simplify right side
    553,816.10x = 343,159,013,598.14
  5. Step 5: Solve for x
    x = 343,159,013,598.14/553,816.10
  6. Step 6: Final answer
    x = 619,626.29

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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.