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Finding the Fourth Proportional to 583,336, 805,004.22 and 315,064

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Solution

The fourth proportional to 583,336, 805,004.22 and 315,064 is: 434,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,336 : 805,004.22 = 315,064 : x
  2. Step 2: Convert to fraction form
    583,336/805,004.22 = 315,064/x
  3. Step 3: Cross multiply
    583,336x = 805,004.22 × 315,064
  4. Step 4: Simplify right side
    583,336x = 253,627,849,570.08
  5. Step 5: Solve for x
    x = 253,627,849,570.08/583,336
  6. Step 6: Final answer
    x = 434,788.61

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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.