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Finding the Fourth Proportional to 564,330.36, 778,798.35 and 309,690.66

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Solution

The fourth proportional to 564,330.36, 778,798.35 and 309,690.66 is: 427,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,330.36 : 778,798.35 = 309,690.66 : x
  2. Step 2: Convert to fraction form
    564,330.36/778,798.35 = 309,690.66/x
  3. Step 3: Cross multiply
    564,330.36x = 778,798.35 × 309,690.66
  4. Step 4: Simplify right side
    564,330.36x = 241,186,575,018.41
  5. Step 5: Solve for x
    x = 241,186,575,018.41/564,330.36
  6. Step 6: Final answer
    x = 427,385.43

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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.