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Finding the Fourth Proportional to 564,275.68, 778,698.30 and 309,631.12

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Solution

The fourth proportional to 564,275.68, 778,698.30 and 309,631.12 is: 427,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,275.68 : 778,698.30 = 309,631.12 : x
  2. Step 2: Convert to fraction form
    564,275.68/778,698.30 = 309,631.12/x
  3. Step 3: Cross multiply
    564,275.68x = 778,698.30 × 309,631.12
  4. Step 4: Simplify right side
    564,275.68x = 241,109,226,771.10
  5. Step 5: Solve for x
    x = 241,109,226,771.10/564,275.68
  6. Step 6: Final answer
    x = 427,289.77

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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.