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Finding the Fourth Proportional to 564,460.83, 778,956.35 and 306,337.71

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Solution

The fourth proportional to 564,460.83, 778,956.35 and 306,337.71 is: 422,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,460.83 : 778,956.35 = 306,337.71 : x
  2. Step 2: Convert to fraction form
    564,460.83/778,956.35 = 306,337.71/x
  3. Step 3: Cross multiply
    564,460.83x = 778,956.35 × 306,337.71
  4. Step 4: Simplify right side
    564,460.83x = 238,623,704,448.96
  5. Step 5: Solve for x
    x = 238,623,704,448.96/564,460.83
  6. Step 6: Final answer
    x = 422,746.26

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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.