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Finding the Fourth Proportional to 565,763.46, 780,746.64 and 421,215

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Solution

The fourth proportional to 565,763.46, 780,746.64 and 421,215 is: 581,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,763.46 : 780,746.64 = 421,215 : x
  2. Step 2: Convert to fraction form
    565,763.46/780,746.64 = 421,215/x
  3. Step 3: Cross multiply
    565,763.46x = 780,746.64 × 421,215
  4. Step 4: Simplify right side
    565,763.46x = 328,862,195,967.60
  5. Step 5: Solve for x
    x = 328,862,195,967.60/565,763.46
  6. Step 6: Final answer
    x = 581,271.54

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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.