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Finding the Fourth Proportional to 564,798.06, 779,430.26 and 306,674.86

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Solution

The fourth proportional to 564,798.06, 779,430.26 and 306,674.86 is: 423,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,798.06 : 779,430.26 = 306,674.86 : x
  2. Step 2: Convert to fraction form
    564,798.06/779,430.26 = 306,674.86/x
  3. Step 3: Cross multiply
    564,798.06x = 779,430.26 × 306,674.86
  4. Step 4: Simplify right side
    564,798.06x = 239,031,665,865.26
  5. Step 5: Solve for x
    x = 239,031,665,865.26/564,798.06
  6. Step 6: Final answer
    x = 423,216.16

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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.