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Finding the Fourth Proportional to 564,535.34, 779,056.80 and 306,412.29

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Solution

The fourth proportional to 564,535.34, 779,056.80 and 306,412.29 is: 422,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,535.34 : 779,056.80 = 306,412.29 : x
  2. Step 2: Convert to fraction form
    564,535.34/779,056.80 = 306,412.29/x
  3. Step 3: Cross multiply
    564,535.34x = 779,056.80 × 306,412.29
  4. Step 4: Simplify right side
    564,535.34x = 238,712,578,128.07
  5. Step 5: Solve for x
    x = 238,712,578,128.07/564,535.34
  6. Step 6: Final answer
    x = 422,847.90

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1.5x scale

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.