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Finding the Fourth Proportional to 583,416, 805,114.80 and 315,144

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Solution

The fourth proportional to 583,416, 805,114.80 and 315,144 is: 434,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,416 : 805,114.80 = 315,144 : x
  2. Step 2: Convert to fraction form
    583,416/805,114.80 = 315,144/x
  3. Step 3: Cross multiply
    583,416x = 805,114.80 × 315,144
  4. Step 4: Simplify right side
    583,416x = 253,727,098,531.20
  5. Step 5: Solve for x
    x = 253,727,098,531.20/583,416
  6. Step 6: Final answer
    x = 434,899.11

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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.