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Finding the Fourth Proportional to 564,368.34, 778,810.77 and 309,712.98

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Solution

The fourth proportional to 564,368.34, 778,810.77 and 309,712.98 is: 427,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,368.34 : 778,810.77 = 309,712.98 : x
  2. Step 2: Convert to fraction form
    564,368.34/778,810.77 = 309,712.98/x
  3. Step 3: Cross multiply
    564,368.34x = 778,810.77 × 309,712.98
  4. Step 4: Simplify right side
    564,368.34x = 241,207,804,432.80
  5. Step 5: Solve for x
    x = 241,207,804,432.80/564,368.34
  6. Step 6: Final answer
    x = 427,394.29

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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.