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Finding the Fourth Proportional to 564,223.90, 778,622.88 and 309,575.02

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Solution

The fourth proportional to 564,223.90, 778,622.88 and 309,575.02 is: 427,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,223.90 : 778,622.88 = 309,575.02 : x
  2. Step 2: Convert to fraction form
    564,223.90/778,622.88 = 309,575.02/x
  3. Step 3: Cross multiply
    564,223.90x = 778,622.88 × 309,575.02
  4. Step 4: Simplify right side
    564,223.90x = 241,042,193,648.46
  5. Step 5: Solve for x
    x = 241,042,193,648.46/564,223.90
  6. Step 6: Final answer
    x = 427,210.18

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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.