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Finding the Fourth Proportional to 586,726.85, 809,655.05 and 360,328.61

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Solution

The fourth proportional to 586,726.85, 809,655.05 and 360,328.61 is: 497,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,726.85 : 809,655.05 = 360,328.61 : x
  2. Step 2: Convert to fraction form
    586,726.85/809,655.05 = 360,328.61/x
  3. Step 3: Cross multiply
    586,726.85x = 809,655.05 × 360,328.61
  4. Step 4: Simplify right side
    586,726.85x = 291,741,872,896.06
  5. Step 5: Solve for x
    x = 291,741,872,896.06/586,726.85
  6. Step 6: Final answer
    x = 497,236.28

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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.