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Finding the Fourth Proportional to 472,210.14, 651,630.96 and 257,345.56

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Solution

The fourth proportional to 472,210.14, 651,630.96 and 257,345.56 is: 355,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,210.14 : 651,630.96 = 257,345.56 : x
  2. Step 2: Convert to fraction form
    472,210.14/651,630.96 = 257,345.56/x
  3. Step 3: Cross multiply
    472,210.14x = 651,630.96 × 257,345.56
  4. Step 4: Simplify right side
    472,210.14x = 167,694,334,314.54
  5. Step 5: Solve for x
    x = 167,694,334,314.54/472,210.14
  6. Step 6: Final answer
    x = 355,126.50

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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.