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Finding the Fourth Proportional to 472,302.56, 651,767.85 and 257,440.75

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Solution

The fourth proportional to 472,302.56, 651,767.85 and 257,440.75 is: 355,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,302.56 : 651,767.85 = 257,440.75 : x
  2. Step 2: Convert to fraction form
    472,302.56/651,767.85 = 257,440.75/x
  3. Step 3: Cross multiply
    472,302.56x = 651,767.85 × 257,440.75
  4. Step 4: Simplify right side
    472,302.56x = 167,791,602,500.47
  5. Step 5: Solve for x
    x = 167,791,602,500.47/472,302.56
  6. Step 6: Final answer
    x = 355,262.95

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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.