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Finding the Fourth Proportional to 630,429.84, 869,996.16 and 343,956.32

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Solution

The fourth proportional to 630,429.84, 869,996.16 and 343,956.32 is: 474,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,429.84 : 869,996.16 = 343,956.32 : x
  2. Step 2: Convert to fraction form
    630,429.84/869,996.16 = 343,956.32/x
  3. Step 3: Cross multiply
    630,429.84x = 869,996.16 × 343,956.32
  4. Step 4: Simplify right side
    630,429.84x = 299,240,677,607.73
  5. Step 5: Solve for x
    x = 299,240,677,607.73/630,429.84
  6. Step 6: Final answer
    x = 474,661.35

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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.