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Finding the Fourth Proportional to 564,066, 778,411.08 and 309,417.80

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Solution

The fourth proportional to 564,066, 778,411.08 and 309,417.80 is: 426,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,066 : 778,411.08 = 309,417.80 : x
  2. Step 2: Convert to fraction form
    564,066/778,411.08 = 309,417.80/x
  3. Step 3: Cross multiply
    564,066x = 778,411.08 × 309,417.80
  4. Step 4: Simplify right side
    564,066x = 240,854,239,977.17
  5. Step 5: Solve for x
    x = 240,854,239,977.17/564,066
  6. Step 6: Final answer
    x = 426,996.56

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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.