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Finding the Fourth Proportional to 564,385.34, 778,851.77 and 338,030.84

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Solution

The fourth proportional to 564,385.34, 778,851.77 and 338,030.84 is: 466,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,385.34 : 778,851.77 = 338,030.84 : x
  2. Step 2: Convert to fraction form
    564,385.34/778,851.77 = 338,030.84/x
  3. Step 3: Cross multiply
    564,385.34x = 778,851.77 × 338,030.84
  4. Step 4: Simplify right side
    564,385.34x = 263,275,912,464.17
  5. Step 5: Solve for x
    x = 263,275,912,464.17/564,385.34
  6. Step 6: Final answer
    x = 466,482.55

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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.