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Finding the Fourth Proportional to 564,418.15, 778,897.55 and 306,295.10

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Solution

The fourth proportional to 564,418.15, 778,897.55 and 306,295.10 is: 422,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,418.15 : 778,897.55 = 306,295.10 : x
  2. Step 2: Convert to fraction form
    564,418.15/778,897.55 = 306,295.10/x
  3. Step 3: Cross multiply
    564,418.15x = 778,897.55 × 306,295.10
  4. Step 4: Simplify right side
    564,418.15x = 238,572,502,967.01
  5. Step 5: Solve for x
    x = 238,572,502,967.01/564,418.15
  6. Step 6: Final answer
    x = 422,687.51

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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.