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Finding the Fourth Proportional to 472,285, 651,753.72 and 257,420.76

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Solution

The fourth proportional to 472,285, 651,753.72 and 257,420.76 is: 355,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,285 : 651,753.72 = 257,420.76 : x
  2. Step 2: Convert to fraction form
    472,285/651,753.72 = 257,420.76/x
  3. Step 3: Cross multiply
    472,285x = 651,753.72 × 257,420.76
  4. Step 4: Simplify right side
    472,285x = 167,774,937,935.23
  5. Step 5: Solve for x
    x = 167,774,937,935.23/472,285
  6. Step 6: Final answer
    x = 355,240.88

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1.5x scale

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.