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Finding the Fourth Proportional to 472,011.30, 651,373.65 and 257,150.70

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Solution

The fourth proportional to 472,011.30, 651,373.65 and 257,150.70 is: 354,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,011.30 : 651,373.65 = 257,150.70 : x
  2. Step 2: Convert to fraction form
    472,011.30/651,373.65 = 257,150.70/x
  3. Step 3: Cross multiply
    472,011.30x = 651,373.65 × 257,150.70
  4. Step 4: Simplify right side
    472,011.30x = 167,501,190,059.06
  5. Step 5: Solve for x
    x = 167,501,190,059.06/472,011.30
  6. Step 6: Final answer
    x = 354,866.91

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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.