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Finding the Fourth Proportional to 564,044, 778,380.72 and 309,395.80

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Solution

The fourth proportional to 564,044, 778,380.72 and 309,395.80 is: 426,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,044 : 778,380.72 = 309,395.80 : x
  2. Step 2: Convert to fraction form
    564,044/778,380.72 = 309,395.80/x
  3. Step 3: Cross multiply
    564,044x = 778,380.72 × 309,395.80
  4. Step 4: Simplify right side
    564,044x = 240,827,721,677.07
  5. Step 5: Solve for x
    x = 240,827,721,677.07/564,044
  6. Step 6: Final answer
    x = 426,966.20

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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.